Degrees of faithful irreducible representations of metabelian groups

Full metadata record

DC Field	Value	Language
dc.contributor.author	Kitture R.D.	en_US
dc.contributor.author	Pradhan S.S.	en_US
dc.date.accessioned	2023-11-30T08:42:12Z	-
dc.date.available	2023-11-30T08:42:12Z	-
dc.date.issued	2022	-
dc.identifier.issn	0219-4988	-
dc.identifier.other	EID(2-s2.0-85108182718)	-
dc.identifier.uri	https://dx.doi.org/10.1142/S021949882250181X	-
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/588	-
dc.description.abstract	In 1993, Sim proved that all the faithful irreducible representations of a finite metacyclic group over any field of positive characteristic have the same degree. In this paper, we restrict our attention to non-modular representations and generalize this result for-(1) finite metabelian groups, over fields of positive characteristic coprime to the order of groups, and (2) finite groups having a cyclic quotient by an abelian normal subgroup, over number fields. © 2022 World Scientific Publishing Company.	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific	en_US
dc.source	Journal of Algebra and its Applications	en_US
dc.subject	Clifford's theory	en_US
dc.subject	crossed products	en_US
dc.subject	faithful irreducible representations	en_US
dc.subject	inertia subgroup	en_US
dc.subject	Metabelian groups	en_US
dc.subject	Schur index	en_US
dc.title	Degrees of faithful irreducible representations of metabelian groups	en_US
dc.type	Journal Article	en_US
Appears in Collections:	Journal Article