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arXiv · 1908.03877

Isomorphism problem of Unitary Subgroups of Group Algebras

Zsolt Balogh·Victor Bovdi
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Abstract

Let V_* be the normalized unitary subgroup of the modular group algebra FG of a finite p-group G over a finite field F with the classical involution *. We investigate the isomorphism problem for the group V_*, that asks when the group V_* is determined by its group algebra FG. We confirm it for classes of finite abelian p-groups, 2-groups of maximal class and non-abelian 2-groups of order at most 16.

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Zsolt Balogh, Victor Bovdi. 2019-08-11. Isomorphism problem of Unitary Subgroups of Group Algebras. https://arxiv.org/abs/1908.03877

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