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Minimal group presentations : a computational approach

Kenne, P. E


The method of describing a group by means of generators and relations is an old one. A question which arises when using this method is what is the minimum number of relations required to describe a given group. Schur (1907) provided a lower bound for the number of relations required, in terms of a group invariant known as the Schur multiplicator. It would be interesting to know which finite groups have a presentation achieving the Schur bound on the number of relations required, but this...[Show more]

CollectionsOpen Access Theses
Date published: 1991
Type: Thesis (PhD)


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