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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | COMMUNICATIONS IN ALGEBRA | ||||
Publisher: | MARCEL DEKKER INC | ||||
ISSN: | 0092-7872 | ||||
Official Date: | 1997 | ||||
Dates: |
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Volume: | 25 | ||||
Number: | 6 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 1817-1832 | ||||
Publication Status: | Published |
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