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Equivalences of two-complexes, with applications to NEC-groups

Published online by Cambridge University Press:  28 June 2011

Eric J. Fennessey  and
Stephen J. Pride
Eric J. Fennessey
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW
Stephen J. Pride
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW
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Abstract

In [17] the second author introduced the concept of an involutary presentation. Such presentations are useful when one wants to deal geometrically with groups which have generators of order two. Now if one wants to deal with subgroups of such groups then it is no longer adequate to stick to presentations - one must consider arbitrary 2-complexes. However, these 2-complexes will differ from those which are usually considered, in that we need to allow some edges to be equal to their inverses.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 2 , September 1989 , pp. 215 - 228
Copyright
Copyright © Cambridge Philosophical Society 1989

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