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Euler characteristics for orbifold generalized triangle groups

Published online by Cambridge University Press:  17 June 2002

ALUN G. T. WILLIAMS
ALUN G. T. WILLIAMS
Affiliation:
Department of Mathematics, Heriot Watt University, Edinburgh EH14 4AS. e-mail: [email protected]
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Abstract

A generalized triangle group is a group with a presentation

GT(l, m, n; w) = 〈a, b | al = bm = wn = 1〉;

where l, m, n [ges ] 2, and w is a cyclically reduced word in the free product on {a, b}. In the setting of one-relator products of cyclic groups, Fine et al. [3] calculated their Euler characteristics for n [ges ] 3 under certain conditions on the defining word w.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 3 , May 2002 , pp. 435 - 438
Copyright
2002 Cambridge Philosophical Society

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