On the Vertices of Indecomposable Modules Over Dihedral 2-Groups

Guodong Zhou

On the Vertices of Indecomposable Modules Over Dihedral 2-Groups

Group Theory 2007-09-14 v2 Rings and Algebras

Authors: Guodong Zhou

Abstract

Let $k$ be an algebraically closed field of characteristic 2. We compute the vertices of all indecomposable $kD_8$ -modules for the dihedral group $D_8$ of order 8. We also give a conjectural formula of the induced module of a string module from $kT_0$ to $kG$ where $G$ is a dihedral group of order $\geq 8$ and where $T_0$ is a dihedral subgroup of index 2 of $G$ . Some cases where we verified this formula are given.

Keywords

module theory irreducible modules for lie algebras lie algebras and modules

Cite

@article{arxiv.0709.0136,
  title  = {On the Vertices of Indecomposable Modules Over Dihedral 2-Groups},
  author = {Guodong Zhou},
  journal= {arXiv preprint arXiv:0709.0136},
  year   = {2007}
}

Comments

19 pages

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