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arXiv · 2311.06666

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

Sofia Brenner·Diego García-Lucas
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Abstract

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

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BibTeXRIS

Sofia Brenner, Diego García-Lucas. 2023-11-11. On the modular isomorphism problem for groups with center of index at most $p^3$. https://arxiv.org/abs/2311.06666

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