Alternating quotients of Fuchsian groups

B Everitt

Alternating quotients of Fuchsian groups

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that any finitely generated, non-elementary Fuchsian group has among its homomorphic images all but finitely many of the alternating groups A(n). This settles in the affirmative a long-standing conjecture of Graham Higman. (C) 2000 Academic Press.

Original language	English
Pages (from-to)	457-476
Number of pages	20
Journal	Journal of Algebra
Volume	223
Issue number	2
Publication status	Published - 15 Jan 2000

Keywords

TRIANGLE GROUPS
PERMUTATION REPRESENTATIONS
BELYI

Access to Document

http://dx.doi.org/10.1006/jabr.1999.8014

Cite this

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abstract = "It is shown that any finitely generated, non-elementary Fuchsian group has among its homomorphic images all but finitely many of the alternating groups A(n). This settles in the affirmative a long-standing conjecture of Graham Higman. (C) 2000 Academic Press.",

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KW - PERMUTATION REPRESENTATIONS

KW - BELYI

M3 - Article

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EP - 476

JO - Journal of Algebra

JF - Journal of Algebra

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