Decompositions of Fundamental Groups of Closed Surfaces into Free Constructions |
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Authors: | Oleg Bogopolski |
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Institution: | (1) Institut of Mathematics, 630090 Novosibirsk, Russia |
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Abstract: | Let T be a closed surface. It is proven that any decomposition of 1(T,x) into an amalgamated product (or, more generally, into the fundamental group of a finite graph of groups) with f.g. edge group(s) is almost geometric. A problem of H. Zieschang is solved and the edge rigidity property is investigated. |
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Keywords: | surface fundamental group amalgamated product HNN-extension geometric decomposition edge rigidity |
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