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Permutation representations of the (2, 4, r) triangle groups

Published online by Cambridge University Press:  17 April 2009

Brent Everitt
Brent Everitt
Affiliation:
Department of Mathematics andStatistics University of AucklandPO Box 92019 Auckland, New Zealand
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The abstract triangle groups Δ(2, 4, r) can be defined for any positive integer r by Δ(2, 4, r) = 〈x, y | x2 = y4 = (xy)r = 1〉. In this paper we show that for every r ≥ 6, all but finitely many of the alternating groups An can be obtained as quotients of Δ(2, 4, r).

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 3 , June 1994 , pp. 499 - 511
Copyright
Copyright © Australian Mathematical Society 1994

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