English

On the Tensor Products of Modules for Dihedral 2-Groups

Representation Theory 2008-01-18 v1

Abstract

Recall that an algebraic module is a KG-module that satisfies a polynomial with integer coefficients, with addition and multiplication given by direct sum and tensor product. In this article we prove that if L is a component of the (stable) Auslander-Reiten quiver for a dihedral 2-group consisting of non-periodic modules, then there is at most one algebraic module on L.

Keywords

Cite

@article{arxiv.0801.2723,
  title  = {On the Tensor Products of Modules for Dihedral 2-Groups},
  author = {David A. Craven},
  journal= {arXiv preprint arXiv:0801.2723},
  year   = {2008}
}

Comments

11 pages

R2 v1 2026-06-21T10:03:56.186Z