Abelian and Solvable Subgroups of the Mapping Class Group Joan
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D ec 1 99 7 Solvable subgroups of Out ( F n ) are virtually abelian
Let Fn denote a free group of rank n. The group Out(Fn) contains mapping class groups of compact surfaces and maps onto GL(n,Z). It is perhaps not surprising that Out(Fn) behaves at times like a mapping class group and at times like a linear group. J. Birman, A. Lubotzky, and J. McCarthy [BLM83] showed that solvable subgroups of mapping class groups are finitely generated and virtually abelian....
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تاریخ انتشار 1983