Abstract
Let V∗(FG) 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∗(FG), i.e., we pose the question when the group algebra FG is uniquely determined by V∗(FG). We give affirmative answers for classes of finite abelian p-groups, 2-groups of maximal class and non-abelian 2-groups of order at most 16.
Original language | English |
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Pages (from-to) | 27-39 |
Number of pages | 13 |
Journal | Publicationes Mathematicae |
Volume | 97 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2020 |
Keywords
- Group ring
- Isomorphism problem
- Unitary subgroup
ASJC Scopus subject areas
- Mathematics(all)