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On the isomorphism problem for unit groups of modular group algebras

A. Konovalov·A. Krivokhata
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Abstract

Using the computational algebra system GAP (http://www.gap-system.org) and the GAP package LAGUNA (http://www.cs.st-andrews.ac.uk/~alexk/laguna.htm), we checked that all 2-groups of order not greater than 32 are determined by normalized unit groups of their modular group algebras over the field of two elements.

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A. Konovalov, A. Krivokhata. 2007-04-05. On the isomorphism problem for unit groups of modular group algebras. https://arxiv.org/abs/math/0607287

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