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The solvability degree of finite groups.

Authors :
Abdulaali, Ameer Kadhim
Shelash, Hayder Baqer
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]

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