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...

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Bibliographic Details
Main Authors: Gaurav Mittal, Rajendra Kumar Sharma
Format: article
Language:EN
Published: Institute of Mathematics of the Czech Academy of Science 2021
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Online Access:https://doaj.org/article/4c9dc5adca9646f3a8bd21c129b14e3b
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