Structure of the unit group of the group algebras of non-metabelian groups of order 128

We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn de...

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Bibliographic Details
Main Authors: Navamanirajan Abhilash, Elumalai Nandakumar, Rajendra Kumar Sharma, Gaurav Mittal
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2025-04-01
Series:Mathematica Bohemica
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Online Access:https://mb.math.cas.cz/full/150/1/mb150_1_1.pdf
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