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Alternating quotients of the (3.q.r) triangle groups
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UNSPECIFIED (1997) Alternating quotients of the (3.q.r) triangle groups. COMMUNICATIONS IN ALGEBRA, 25 (6). pp. 1817-1832. ISSN 0092-7872
Full text not available from this repository.Abstract
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 [9]. 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 |
| ISSN: | 0092-7872 |
| Date: | 1997 |
| Volume: | 25 |
| Number: | 6 |
| Number of Pages: | 16 |
| Page Range: | pp. 1817-1832 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/17757 |
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