Normalized unit groups and their conjugacy classes

dc.contributor.author	Kaur, S.
dc.contributor.author	Khan, M.
dc.date.accessioned	2020-03-04T10:27:32Z
dc.date.available	2020-03-04T10:27:32Z
dc.date.issued	2020-03-04
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1492
dc.description.abstract	Let G = H × A be a finite 2-group, where H is a non-abelian group of order 8 and A is an elementary abelian 2-group. We obtain a normal complement of G in the normalized unit group V(FG) and in the unitary subgroup V∗(FG) over the field F with 2 elements. Further, for a finite field F of characteristic 2, we derive class size of elements of V(FG). Moreover, we provide class representatives of V∗(F H).	en_US
dc.language.iso	en_US	en_US
dc.subject	Group ring	en_US
dc.subject	Unitary subgroup	en_US
dc.subject	Unit group	en_US
dc.subject	Conjugacy class	en_US
dc.title	Normalized unit groups and their conjugacy classes	en_US
dc.type	Article	en_US