A Note on the Wedderburn Decomposition and Unit Group of the Semisimple Group Algebra FpSn

Abstract

In this short note, we give an algorithm to compute the unit group of a semisimple group algebra for any . To show the practicality of the algorithm, we explicitly find the unit groups of the semisimple group algebras , , and .

Introduction

References

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Copyright

Copyright © 2022 Shubham Mittal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.