English

On a Theorem of Kn\"orr

Group Theory 2023-09-28 v1 Rings and Algebras Representation Theory

Abstract

Kn\"orr has constructed an ideal, in the center of the p-modular group algebra of a finite group G, whose dimension is the number of p-blocks of defect zero in G/Q; here p is a prime and Q is a normal p-subgroup of G. We generalize his construction to symmetric algebras.

Keywords

Cite

@article{arxiv.2309.15538,
  title  = {On a Theorem of Kn\"orr},
  author = {Burkhard Külshammer},
  journal= {arXiv preprint arXiv:2309.15538},
  year   = {2023}
}

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4 pages