On the isomorphism problem for unit groups of modular group algebras

Mathematics – Rings and Algebras

Scientific paper

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6 pages, accepted in Acta Sci. Math. (Szeged)

Scientific paper

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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