Unitary and symmetric units of a commutative group algebra
Rings and Algebras
2019-07-10 v2 Commutative Algebra
Group Theory
Representation Theory
Abstract
Let F be the field of two elements and G a finite abelian 2-group with an involutory automorphism. The extension of this automorphism to the group algebra FG is called an involutory involution. This determines the groups of unitary and symmetric normalized units of FG. We calculate the orders and the invariants of these subgroups.
Cite
@article{arxiv.1302.5222,
title = {Unitary and symmetric units of a commutative group algebra},
author = {V. A. Bovdi and A. N. Grishkov},
journal= {arXiv preprint arXiv:1302.5222},
year = {2019}
}
Comments
The paper has been withdrawn due to errors of the calculations