On unit group of finite semisimple group algebras of non-metabelian groups up to order 72

We characterize the unit group of semisimple group algebras $\mathbb{F}_qG$ of some non-metabelian groups, where $F_q$ is a field with $q=p^k$ elements for $p$ prime and a positive integer $k$. In particular, we consider all 6 non-metabelian groups of order 48, the only non-metabelian group $((C_3\t...

Full description

Bibliographic Details
Main Authors: Gaurav Mittal, Rajendra Kumar Sharma
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2021-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/146/4/mb146_4_5.pdf