Decompositions of Fundamental Groups of Closed Surfaces into Free Constructions

被引：0
作者：
Oleg Bogopolski
机构：
[1] Institut of Mathematics,
来源：
Geometriae Dedicata | 2002年 / 94卷
关键词：
surface; fundamental group; amalgamated product; HNN-extension; geometric decomposition; edge rigidity;
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学科分类号：
摘要：
Let T be a closed surface. It is proven that any decomposition of π1(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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页码：63 / 89
页数：26
相关论文
共 13 条
[1]  
Bogopolski O.(2001)The automorphic conjugacy problem for subgroups of fundamental groups of compact surfaces Algebra and Logic 40 17-33
[2]  
Bogopolski O.(2002)On the uniqueness of factors of amalgamated products J. Group Theory 5 233-240
[3]  
Weidmann R.(1981)What does a basis of Math. Ann. 257 435-445
[4]  
Cohen M.(1960)( Canad. J. Math. 12 415-425
[5]  
Metzler W.(1949)) look like? Trans. Amer. Math. Soc. 67 421-432
[6]  
Zimmermann A.(1979)Discrete groups of motions Math. Centre Tracts Amsterdam 115 117-121
[7]  
Greenberg L.(1978)Coset representations in free groups Houston J. Math. 4 91-103
[8]  
Hall M.(1978)A splitting theorem for surfaces, amalgamation J. London Math. Soc. 17 555-565
[9]  
Hendriks H.(1981)Quadratic equations in free products with amalgamation Russian Math. Surveys 36 193-215
[10]  
Shastri A.(undefined)Subgroups of surface groups are almost geometric undefined undefined undefined-undefined
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