Alternating Quotients of Fuchsian Groups
Alternating Quotients of Fuchsian Groups
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Fuchsian 群的交替商
DOI：
10.1006/jabr.1999.8014
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发表时间：
1999
影响因子：
0.9
通讯作者：
B. Everitt
中科院分区：
文献类型：
--
作者：
B. Everitt
证明了任何有限生成的非初等Fuchsian群的同态像中几乎都有有限多个交错群An。这肯定地解决了格雷厄姆·希格曼长期以来的一个猜想。
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.