On the Tits alternative for some generalized triangle groups

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/98

Title:	On the Tits alternative for some generalized triangle groups
Authors:	Beniash-Kryvets, Valery Barkovich, Oxana
Issue Date:	24-Feb-2004
Publisher:	Луганский национальный университет им. Т. Шевченко
Description:	One says that the Tits alternative holds for a finitely generated group ¡ if ¡ contains either a non abelian free subgroup or a solvable subgroup of finite index. Rosenberger states the conjecture that the Tits alternative holds for generalized tri- angle groups T(k, l,m,R) = ha, b; ak = bl = Rm(a, b) = 1i. In the paper Rosenberger’s conjecture is proved for groups T(2, l, 2,R) with l = 6, 12, 30, 60 and some special groups T(3, 4, 2,R).
URI:	http://hdl.handle.net/123456789/98
Appears in Collections:	Статті

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