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Hurwitz Groups with Arbitrarily Large Centres

Hurwitz Groups with Arbitrarily Large Centres In this paper a new family of quotients of the triangle group [x,y,z|x2 =y3=z7=xyz=1] is obtained. Each group in this family is constructed as central product of the groups SL(2, q) for various prime‐powers q, and in this way it is shown that for every positive integer s there are infinitely many Hurwitz groups with a centre of size 28. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Hurwitz Groups with Arbitrarily Large Centres

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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/18.3.269
Publisher site
See Article on Publisher Site

Abstract

In this paper a new family of quotients of the triangle group [x,y,z|x2 =y3=z7=xyz=1] is obtained. Each group in this family is constructed as central product of the groups SL(2, q) for various prime‐powers q, and in this way it is shown that for every positive integer s there are infinitely many Hurwitz groups with a centre of size 28.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: May 1, 1986

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