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Regular maps with small parameters

Part of: Special aspects of infinite or finite groups Graph theory Low-dimensional topology

Published online by Cambridge University Press:  09 April 2009

Marston Conder
Marston Conder
Affiliation:
Department of Mathematics and Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand
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Abstract

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Regular maps of type {p, q}r and the associated groups Gp,q,r are considered for small values for p, q and r. In particular, it is shown that the groups G4,6,6 and G5,5,6 are Abelian-by-infinite, and there are infinitely many regular maps of each of the types {4, 6}6, {5, 5}6, {5, 6}6 and {6, 6}6.

MSC classification

Secondary: 05C25: Graphs and abstract algebra (groups, rings, fields, etc.) 20F05: Generators, relations, and presentations 57M15: Relations with graph theory

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 57 , Issue 1 , August 1994 , pp. 103 - 112
Copyright
Copyright © Australian Mathematical Society 1994

References

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