The normal complement problem in group algebras

dc.contributor.author	Setia, H.
dc.contributor.author	Khan, M.
dc.date.accessioned	2021-10-24T06:37:54Z
dc.date.available	2021-10-24T06:37:54Z
dc.date.issued	2021-10-24
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/3114
dc.description.abstract	Let Sn be the symmetric group and An be the alternating group on n symbols. In this article, we have proved that if F is a finite field of characteristic p > n, then there does not exist a normal complement of Sn (n is even) and An ðn 4Þ in their corresponding unit groups UðFSnÞ and UðFAnÞ: Moreover, if F is a finite field of characteristic 3, then A4 does not have normal complement in the unit group UðFA4Þ:	en_US
dc.language.iso	en_US	en_US
dc.subject	Group ring	en_US
dc.subject	finite field	en_US
dc.subject	isomorphism	en_US
dc.subject	representation; unit group	en_US
dc.subject	normal complement	en_US
dc.subject	kronecker product	en_US
dc.subject	alternating group	en_US
dc.title	The normal complement problem in group algebras	en_US
dc.type	Article	en_US