The solvability degree of finite groups

In this paper we computed and studied the types of the subgroups of the groups A5, C2 × A5, C3 × A5, C5 × A5 and Cp × A5 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 o...

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Bibliographic Details
Main Authors: Abdulaali, Ameer Kadhim, Shelash, Hayder Baqer
Format: Conference Proceeding
Language:English
Subjects:
Classification
Computation
Group theory
Prime numbers
Subgroups
Online Access:Get full text
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Summary:In this paper we computed and studied the types of the subgroups of the groups A5, C2 × A5, C3 × A5, C5 × A5 and Cp × A5 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.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0113627