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The solvability degree of finite groups.
- Source :
- AIP Conference Proceedings; 2023, Vol. 2593 Issue 1, p1-9, 9p
- Publication Year :
- 2023
-
Abstract
- In this paper we computed and studied the types of the subgroups of the groups A<subscript>5</subscript>, C<subscript>2</subscript> × A<subscript>5</subscript>, C<subscript>3</subscript> × A<subscript>5</subscript>, C<subscript>5</subscript> × A<subscript>5</subscript>andC<subscript>p</subscript> × A<subscript>5</subscript> where p is an odd prime number. We also classification the subgroups of those groups into the abelian, non-abelian, solvable, and non-solvable groups. So, we computed the number of solvability degree parameters of some of those finite groups. Mathematics Subject Classification (2010): 20F12, 20F14, 20F18, 20D15. [ABSTRACT FROM AUTHOR]
- Subjects :
- FINITE groups
ABELIAN groups
ODD numbers
PRIME numbers
SOLVABLE groups
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2593
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 164042035
- Full Text :
- https://doi.org/10.1063/5.0113627