Unitary and symmetric units of a commutative group algebra

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.

The paper has been withdrawn due to errors of the calculations

References in corpus (1)

• Convolutional codes from units in matrix and group rings

Cited by in corpus (3)

• Unitary Subgroups of commutative group algebras of characteristic two
• Isomorphism problem of Unitary Subgroups of Group Algebras
• On the normal complement problem for finite group algebras of Abelian-by-cyclic groups