The normal complement problem and the structure of the unitary subgroup

dc.contributor.author	Kaur, S.
dc.contributor.author	Khan, M.
dc.date.accessioned	2020-12-16T06:21:31Z
dc.date.available	2020-12-16T06:21:31Z
dc.date.issued	2020-12-16
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1653
dc.description.abstract	Let p be an odd prime and G be a finite split metabelian p-group of exponent p. In this article, we obtain a normal complement of G in VðFGÞ, where F is the field with p elements. Further, assume that G ¼ A3C3, where A is a finite abelian p-group and 3 j p 1: If F is any finite field of characteristic p, then we prove that G does not have a normal complement in VðFGÞ and obtain the structure of the unitary subgroup V ðFGÞ:	en_US
dc.language.iso	en_US	en_US
dc.subject	Conjugacy class	en_US
dc.subject	Group ring	en_US
dc.subject	Normal complement	en_US
dc.subject	Unit group	en_US
dc.title	The normal complement problem and the structure of the unitary subgroup	en_US
dc.type	Article	en_US