A note on normal complement problem

dc.contributor.author	Kaur, K.
dc.contributor.author	Khan, M.
dc.contributor.author	Chatterjee, T.
dc.date.accessioned	2021-10-16T09:03:22Z
dc.date.available	2021-10-16T09:03:22Z
dc.date.issued	2021-10-16
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/3056
dc.description.abstract	In this paper, we study the normal complement problem on semisimple group algebras and modular group algebras FG over a field F of positive characteristic. We provide an infinite class of abelian groups G and Galois fields F that have normal complement in the unit group U(FG) for semisimple group algebras FG. For metacyclic group G of order p1p2, where p1, p2 are distinct primes, we prove that G does not have normal complement in U(FG) for finite semisimple group algebra FG. Finally, we study the normal complement problem for modular group algebras over field of characteristic 2.	en_US
dc.language.iso	en_US	en_US
dc.subject	Group algebra	en_US
dc.subject	semisimple	en_US
dc.subject	normal complement	en_US
dc.subject	unitary units	en_US
dc.subject	unit group	en_US
dc.subject	bicyclic units	en_US
dc.title	A note on normal complement problem	en_US
dc.type	Article	en_US