English

On the modular isomorphism problem for groups with center of index at most $p^3$

Representation Theory 2023-11-14 v1 Group Theory

Abstract

Let pp be an odd prime number. We show that the modular isomorphism problem has a positive answer for finite pp-groups whose center has index p3p^3, which is a strong contrast to the analogous situation for p=2p = 2.

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Cite

@article{arxiv.2311.06666,
  title  = {On the modular isomorphism problem for groups with center of index at most $p^3$},
  author = {Sofia Brenner and Diego García-Lucas},
  journal= {arXiv preprint arXiv:2311.06666},
  year   = {2023}
}

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8 pages