Class length of elements of group in the normalized unit group

dc.contributor.author	Kaur, S.
dc.contributor.author	Khan, M.
dc.date.accessioned	2021-08-30T05:59:34Z
dc.date.available	2021-08-30T05:59:34Z
dc.date.issued	2021-08-30
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/2562
dc.description.abstract	Let F be a finite field of characteristic p > 0. In this article, we obtain a relation between the class length of elements of a finite p-group G in the normalized unit group V (F G) and its unitary subgroup V∗(F G), when p is an odd prime. We also provide the size of the conjugacy class of non-central elements of a group G in V (F G), where either G is any finite p-group with nilpotency class 2 or G is a p-group with nilpotency class 3 such that \|G\| ≤ p 5 .	en_US
dc.language.iso	en_US	en_US
dc.subject	Group ring	en_US
dc.subject	unit group	en_US
dc.subject	unitary units	en_US
dc.subject	conjugacy class	en_US
dc.title	Class length of elements of group in the normalized unit group	en_US
dc.type	Article	en_US