Displaying similar documents to “Involutions on the second duals of group algebras versus subamenable groups”

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

Navamanirajan Abhilash, Elumalai Nandakumar, Rajendra K. Sharma, Gaurav Mittal (2025)

Mathematica Bohemica

Similarity:

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 decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups.

The groups of order at most 2000.

Besche, Hans Ulrich, Eick, Bettina, O'Brien, E.A. (2001)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Similarity: