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

  • Sofia Brenner,
  • Diego García-Lucas

摘要

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 .