The unit groups of semisimple group algebras of some non-metabelian groups of order 144

We consider all the non-metabelian groups $G$ of order $144$ that have exponent either 36 or 72 and deduce the unit group $U(\mathbb{F}_qG)$ of semisimple group algebra $\mathbb{F}_qG$. Here, $q$ denotes the power of a prime, i.e., $q=p^r$ for $p$ prime and a positive integer $r$. Up to isomorphism,...

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Bibliographic Details
Main Authors: Gaurav Mittal, Rajendra Kumar Sharma
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2023-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/148/4/mb148_4_14.pdf