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21 results on '"right loop"'

1. Isotopic class of transversals in finite solvable groups.

Author

Kharvar, Chandan Singh and Shukla, Ravindra Prasad

Subjects
*FINITE groups, *TRANSVERSAL lines, *SOLVABLE groups
Abstract

We prove that if H is a subgroup of a finite solvable group G such that the number of isotopic classes of right transversals of H in G is 1, then H is normal in G. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Solvable and nilpotent right loops

Author

Kakkar Vipul and Jain Vivek Kumar

Subjects
right loop, right transversal, solvable right loop, nilpotent right loop, 20d99, 20n05, Mathematics, QA1-939
Abstract

In this paper the notions of solvable right transversal and nilpotent right transversal are defined. Further, it is proved that if a core-free subgroup has a generating solvable transversal, then the whole group is solvable.

Published
2017
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3. One-Sided Quantum Quasigroups and Loops

Author

Smith J. D. H.

Subjects
Hopf algebra, quantum group, right quasigroup, right loop, Mathematics, QA1-939
Abstract

Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual. Just as quantum quasigroups are the “quantum” version of quasigroups, so one-sided quantum quasigroups are the “quantum” version of left or right quasigroups.

Published
2015
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4. ONE-SIDED QUANTUM QUASIGROUPS AND LOOPS.

Author

Smith, J. D. H.

Subjects
*QUANTUM theory, *QUASIGROUPS, *LOOPS (Group theory)
Abstract

Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual. Just as quantum quasigroups are the "quantum" version of quasigroups, so one-sided quantum quasigroups are the "quantum" version of left or right quasigroups. [ABSTRACT FROM AUTHOR]

Published
2018
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8. Dynamical groups and braces.

Author

Rump, Wolfgang

Subjects
*YANG-Baxter equation, *KNOT theory, *MATHEMATICAL physics, *ABELIAN groups, *FC-groups
Abstract

Set-theoretic solutions of the quantum dynamical Yang-Baxter equation are analyzed by means of dynamical analogues of braces (=bijective 1-cocycles). It is shown that every abelian group acts on a universal parameter set such that the orbits correspond to the faithful irreducible dynamical braces with underlying abelian group . Braces correspond to the fixed points of this action. Relations between linear extendability of solutions, non-degeneracy, and existence of a double, are established for the dynamical case. [ABSTRACT FROM AUTHOR]

Published
2016
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9. Some Characterizations of a Normal Subgroup of a Group and Isotopic Classes of Transversals.

Author

Kakkar, Vipul and Shukla, R. P.

Subjects
*GROUP theory, *SET theory, *TRANSVERSAL lines, *FINITE groups, *LOOPS (Group theory), *MATHEMATICS theorems
Abstract

Let G be a group and H be a subgroup of G which is either finite or of finite index in G. In this paper, we give some characterizations for the normality of H in G. As a consequence we get a very short and elementary proof of the main theorem of a paper of Lal and Shukla, which avoids the use of the classification of finite simple groups. Further, we study the isotopy between the transversals in some groups and determine the number of isotopy classes of transversals of a subgroup of order 2 in D2p, the dihedral group of order 2p, where p is an odd prime and the isotopism classes are formed with respect to induced right loop structures. [ABSTRACT FROM AUTHOR]

Published
2016
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10. ON THE CONGRUENCES IN RIGHT LOOPS.

Author

Kakkar, Vipul and Shukla, R.P.

Subjects
GEOMETRIC congruences, LOOPS (Group theory), STABILITY theory, MATHEMATICS, MATHEMATICAL analysis
Abstract

In case the stability relation is a congruence, a necessary and also a sufficient condition for its equality with the center congruence is given. [ABSTRACT FROM AUTHOR]

Published
2015
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12. On the number of isomorphism classes of transversals.

Author

KAKKAR, VIPUL and SHUKLA, R P

Subjects
ISOMORPHISM (Mathematics), SUBGROUP growth, FINITE groups, TORSION, SET theory, MATHEMATICAL proofs, MATHEMATICAL analysis
Abstract

In this paper we prove that there does not exist a subgroup H of a finite group G such that the number of isomorphism classes of normalized right transversals of H in G is four. [ABSTRACT FROM AUTHOR]

Published
2013
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14. One-Sided Quantum Quasigroups and Loops

Author

Jonathan D. H. Smith

Subjects
Quantum group, Mathematics::General Mathematics, General Mathematics, lcsh:Mathematics, right quasigroup, Hopf algebra, lcsh:QA1-939, Algebra, Mathematics::Group Theory, One sided, quantum group, right loop, Quantum, Mathematics, Computer Science::Cryptography and Security
Abstract

Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual. Just as quantum quasigroups are the “quantum” version of quasigroups, so one-sided quantum quasigroups are the “quantum” version of left or right quasigroups.

Published
2015

15. Solvable and Nilpotent Right Loops

Author

Vipul Kakkar and Vivek Kumar Jain

Subjects
Pure mathematics, solvable right loop, General Mathematics, 010102 general mathematics, Mathematics::Rings and Algebras, 0102 computer and information sciences, 20n05, Group Theory (math.GR), nilpotent right loop, 01 natural sciences, Nilpotent, Mathematics::Group Theory, 010201 computation theory & mathematics, QA1-939, FOS: Mathematics, right transversal, 0101 mathematics, right loop, 20d99, Mathematics::Representation Theory, Nuclear Experiment, Mathematics - Group Theory, Mathematics, 20D60, 20N05
Abstract

In this paper the notion of nilpotent right transversal and solvable right transversal has been defined. Further, it is proved that if a core-free subgroup has a generating solvable transversal or a generating nilpotent transversal, then the whole group is solvable., arXiv admin note: substantial text overlap with arXiv:1307.5392

Published
2014

16. Klasifikace otisků prstů

Author

Drahanský, Martin, Orság, Filip, Kostiha, Martin, Drahanský, Martin, Orság, Filip, and Kostiha, Martin

Abstract

Automatická identifikace založená na otiscích prstů vyžaduje porovnání otisku prstu s velkým množstvím otisků prstů uložených v databázi. Klasifikace otisků prstů poskytuje důležitý mechanizmus indexování v databázích otisků prstů, který snižuje čas vyhlehledání a výpočetní nároky. Tato práce se zabývá Galton-Henryho klasifikačním systémem. Klasifikační metoda je založena na poli orientací a detekci singularit pomocí Poincaréova indexu., Automatic identification based on fingerprints requires the input fingerprint to be matched with a large number of fingerprints stored in a database. Fingerprint classification provides an important indexing mechanism in fingerprint databases that reduces the search time and computational complexity. This thesis is dealing with Galton-Henry's classification system. The classification method is based on orientation field and detection singularities using Poinaceré index.

17. Klasifikace otisků prstů

Author

Drahanský, Martin, Orság, Filip, Kostiha, Martin, Drahanský, Martin, Orság, Filip, and Kostiha, Martin

Abstract

Automatická identifikace založená na otiscích prstů vyžaduje porovnání otisku prstu s velkým množstvím otisků prstů uložených v databázi. Klasifikace otisků prstů poskytuje důležitý mechanizmus indexování v databázích otisků prstů, který snižuje čas vyhlehledání a výpočetní nároky. Tato práce se zabývá Galton-Henryho klasifikačním systémem. Klasifikační metoda je založena na poli orientací a detekci singularit pomocí Poincaréova indexu., Automatic identification based on fingerprints requires the input fingerprint to be matched with a large number of fingerprints stored in a database. Fingerprint classification provides an important indexing mechanism in fingerprint databases that reduces the search time and computational complexity. This thesis is dealing with Galton-Henry's classification system. The classification method is based on orientation field and detection singularities using Poinaceré index.

18. Klasifikace otisků prstů

Author

Drahanský, Martin, Orság, Filip, Drahanský, Martin, and Orság, Filip

Abstract

Automatická identifikace založená na otiscích prstů vyžaduje porovnání otisku prstu s velkým množstvím otisků prstů uložených v databázi. Klasifikace otisků prstů poskytuje důležitý mechanizmus indexování v databázích otisků prstů, který snižuje čas vyhlehledání a výpočetní nároky. Tato práce se zabývá Galton-Henryho klasifikačním systémem. Klasifikační metoda je založena na poli orientací a detekci singularit pomocí Poincaréova indexu., Automatic identification based on fingerprints requires the input fingerprint to be matched with a large number of fingerprints stored in a database. Fingerprint classification provides an important indexing mechanism in fingerprint databases that reduces the search time and computational complexity. This thesis is dealing with Galton-Henry's classification system. The classification method is based on orientation field and detection singularities using Poinaceré index.

19. Klasifikace otisků prstů

Author

Drahanský, Martin, Orság, Filip, Drahanský, Martin, and Orság, Filip

Abstract

Automatická identifikace založená na otiscích prstů vyžaduje porovnání otisku prstu s velkým množstvím otisků prstů uložených v databázi. Klasifikace otisků prstů poskytuje důležitý mechanizmus indexování v databázích otisků prstů, který snižuje čas vyhlehledání a výpočetní nároky. Tato práce se zabývá Galton-Henryho klasifikačním systémem. Klasifikační metoda je založena na poli orientací a detekci singularit pomocí Poincaréova indexu., Automatic identification based on fingerprints requires the input fingerprint to be matched with a large number of fingerprints stored in a database. Fingerprint classification provides an important indexing mechanism in fingerprint databases that reduces the search time and computational complexity. This thesis is dealing with Galton-Henry's classification system. The classification method is based on orientation field and detection singularities using Poinaceré index.

20. Klasifikace otisků prstů

Author

Drahanský, Martin, Orság, Filip, Drahanský, Martin, and Orság, Filip

Abstract

Automatická identifikace založená na otiscích prstů vyžaduje porovnání otisku prstu s velkým množstvím otisků prstů uložených v databázi. Klasifikace otisků prstů poskytuje důležitý mechanizmus indexování v databázích otisků prstů, který snižuje čas vyhlehledání a výpočetní nároky. Tato práce se zabývá Galton-Henryho klasifikačním systémem. Klasifikační metoda je založena na poli orientací a detekci singularit pomocí Poincaréova indexu., Automatic identification based on fingerprints requires the input fingerprint to be matched with a large number of fingerprints stored in a database. Fingerprint classification provides an important indexing mechanism in fingerprint databases that reduces the search time and computational complexity. This thesis is dealing with Galton-Henry's classification system. The classification method is based on orientation field and detection singularities using Poinaceré index.

21. Klasifikace otisků prstů

Author

Drahanský, Martin, Orság, Filip, Kostiha, Martin, Drahanský, Martin, Orság, Filip, and Kostiha, Martin

Abstract

Automatická identifikace založená na otiscích prstů vyžaduje porovnání otisku prstu s velkým množstvím otisků prstů uložených v databázi. Klasifikace otisků prstů poskytuje důležitý mechanizmus indexování v databázích otisků prstů, který snižuje čas vyhlehledání a výpočetní nároky. Tato práce se zabývá Galton-Henryho klasifikačním systémem. Klasifikační metoda je založena na poli orientací a detekci singularit pomocí Poincaréova indexu., Automatic identification based on fingerprints requires the input fingerprint to be matched with a large number of fingerprints stored in a database. Fingerprint classification provides an important indexing mechanism in fingerprint databases that reduces the search time and computational complexity. This thesis is dealing with Galton-Henry's classification system. The classification method is based on orientation field and detection singularities using Poinaceré index.

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