The modular group algebras of p-groups of maximal class II |
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Authors: | Czeslaw Bagiński |
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Institution: | Faculty of Computer Science, Bialystok University of Technology, Bialystok, Poland |
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Abstract: | The modular isomorphism problem is settled for 3-groups of maximal class but two families of groups. Moreover, the conjecture that the ideals belonging to the lower central series of a group base are determined by the structure of the group algebra is refuted in greatest generality by virtue of a single group of order 81 of maximal class, and it is proved that the nilpotency class is determined by the structure of the group algebra for p-groups of maximal class. |
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Keywords: | Finite p-group group algebra maximal class modular isomorphism problem |
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