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Locally full HNN extensions of inverse semigroups

Published online by Cambridge University Press:  09 April 2009

Akihiro Yamamura
Affiliation:
Communications Research Laboratory 4-2-1, Nukui-Kitamachi, Koganei Tokyo 184-8795Japan e-mail: aki@crl.go.jp
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Abstract

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We investigate a locally full HNN extension of an inverse semigroup. A normal form theorem is obtained and applied to the word problem. We construct a tree and show that a maximal subgroup of a locally full HNN extension acts on the tree without inversion. Bass-Serre theory is employed to obtain a group presentation of the maximal subgroup as a fundamental group of a certain graph of groups associated with the D-structure of the original semigroup.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

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