Search

Your search keyword '"Ialenti, Roberto"' showing total 7 results
Start Over Author "Ialenti, Roberto"
7 results on '"Ialenti, Roberto"'

1. Some topics on permutable subgroups in infinite groups

Author

Ialenti, Roberto

Subjects
Mathematics::Combinatorics
Abstract

The aim of this thesis is to study permutability in different aspects of the theory of infinite groups. In particular, it will be studied the structure of groups in which all the members of a relevant system of subgroups satisfy a suitable generalized condition of permutability.

Published
2017

3. GROUPS WITH PERMUTABILITY CONDITIONS FOR SUBGROUPS OF INFINITE RANK.

Author

DE LUCA, ANNA VALENTINA and IALENTI, ROBERTO

Subjects
*INFINITE groups, *MAXIMAL subgroups
Abstract

In this paper, the structure of non-periodic generalized radical groups of infinite rank whose subgroups of infinite rank satisfy a suitable permutability condition is investigated. [ABSTRACT FROM AUTHOR]

Published
2018
Full Text
View/download PDF

5. On Groups with Finite Abelian Section Rank Factorized by Mutually Permutable Subgroups.

Author

de Giovanni, Francesco and Ialenti, Roberto

Subjects
ABELIAN groups, FACTORIZATION, PERMUTATION groups, SOLVABLE groups, NILPOTENT groups, FINITE groups
Abstract

It is proved that ifG = ABis a soluble group with finite abelian section rank which is factorized by two mutually permutable finite-by-nilpotent subgroupsAandBsuch thatA′ andB′ are locally nilpotent, then also the normal closure ⟨A′,B′⟩Gis locally nilpotent and the subgroupsA′ andB′ are ascendant inG. [ABSTRACT FROM AUTHOR]

Published
2016
Full Text
View/download PDF

7. On Groups with Finite Abelian Section Rank Factorized by Mutually Permutable Subgroups

Author

Roberto Ialenti, Francesco de Giovanni, DE GIOVANNI, Francesco, and Ialenti, Roberto

Subjects
Discrete mathematics, Pure mathematics, Algebra and Number Theory, Group (mathematics), Mathematics::Rings and Algebras, 010102 general mathematics, Locally nilpotent, 010103 numerical & computational mathematics, 01 natural sciences, Rank of an abelian group, Mathematics::Group Theory, Section (category theory), Locally finite group, Rank (graph theory), Permutable prime, 0101 mathematics, Abelian group, Mathematics::Representation Theory, Mathematics
Abstract

It is proved that if G = AB is a soluble group with finite abelian section rank which is factorized by two mutually permutable finite-by-nilpotent subgroups A and B such that A′ and B′ are locally nilpotent, then also the normal closure ⟨ A′, B′ ⟩G is locally nilpotent and the subgroups A′ and B′ are ascendant in G.

Published
2015

Catalog

Books, media, physical & digital resources
See catalog results