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Hochschild cohomology of symmetric groups in low degrees

Group Theory 2022-04-22 v1

Abstract

We compute the dimensions of the Hochschild cohomology of symmetric groups over prime fields in low degrees. This involves us in studying some partition identities and generating functions of the dimensions in any fixed degree of the Hochschild cohomology of symmetric groups.

Keywords

Cite

@article{arxiv.2204.09970,
  title  = {Hochschild cohomology of symmetric groups in low degrees},
  author = {David Benson and Radha Kessar and Markus Linckelmann},
  journal= {arXiv preprint arXiv:2204.09970},
  year   = {2022}
}

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14 pages