Hurwitz Groups with Arbitrarily Large Centres | Zendy

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Hurwitz Groups with Arbitrarily Large Centres

Author(s) -

Conder Marston

Publication year - 1986

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/18.3.269

Subject(s) - mathematics , quotient , prime (order theory) , group (periodic table) , combinatorics , product (mathematics) , integer (computer science) , pure mathematics , geometry , physics , quantum mechanics , computer science , programming language

In this paper a new family of quotients of the triangle group[ x , y , z | x 2 = y 3 = z 7 = x y z = 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 2 8 .

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