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Constructing a Short Defining Set of Relations for a Finite Group

✍ Scribed by Volker Gebhardt

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
142 KB
Volume
233
Category
Article
ISSN
0021-8693

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✦ Synopsis

An algorithm for the construction of a defining set of relations w.r.t. a given set of generators of a finite group G is presented. Compared with previously known methods it yields fewer relations and is better suited for iterated application to large groups. These improvements are achieved by considering the action of some subgroup H < G on the vertices of the Cayley graph of G w.r.t. the subgroup H.

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