2024
DOI: 10.1007/s00013-024-01977-z
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On the modular isomorphism problem for groups with center of index at most $$p^3$$

Sofia Brenner,
Diego García-Lucas

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 $$p^3$$ p 3 , which is a strong contrast to the analogous situation for $$p = 2$$ p = 2 .

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