Alternating quotients of the (3.q.r) triangle groups
UNSPECIFIED. (1997) Alternating quotients of the (3.q.r) triangle groups. COMMUNICATIONS IN ALGEBRA, 25 (6). pp. 1817-1832. ISSN 0092-7872Full text not available from this repository.
A long standing conjecture (attributed to Graham Higman) asserts that each of the triangle groups Delta(p, q, r) For 1/p + 1/q + 1/r < 1 contains among its homomorphic ima all but finitely many of the alternating or symmetric groups. This phenomenon has been termed property H by Mushtaq and Servatius . The work of several authors over the last decade and a half has shown that for any value of q, there are only finitely many r such that Delta(2,q, r) fails to have property H. In this paper, the techniques used by these authors ale generalised to handle the possibility that p is odd, and as a result. it is shown that for any q greater than or equal to 3, there are only finitely many r such that Delta(3, q, r) fails to have properly H.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||COMMUNICATIONS IN ALGEBRA|
|Publisher:||MARCEL DEKKER INC|
|Number of Pages:||16|
|Page Range:||pp. 1817-1832|
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