Hurwitz Groups with Arbitrarily Large Centres
Conder, Marston
1986-05-01 00:00:00
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.pngBulletin of the London Mathematical SocietyWileyhttp://www.deepdyve.com/lp/wiley/hurwitz-groups-with-arbitrarily-large-centres-b0yQ2JQKFE
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 Society
– Wiley
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