Conjugacy pinched and cyclically pinched one-relator groups
نویسندگان
چکیده
منابع مشابه
Cyclically Pinched One-relator Groups and Generic Property Soyoung Moon
We show that a class of cyclically pinched one-relator groups admits amenable, faithful and transitive actions on infinite countable sets. This work generalizes the results on such actions for doubles of free group on 2 generators.
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We prove that the amalgamated product of free groups with cyclic amalgamations satisfying certain conditions are virtually free-by-cyclic. In case the cyclic amalgamated subgroups lie outside the derived group such groups are free-by-cyclic. Similarly a one-relator HNN-extension in which the conjugated elements either coincide or are independent modulo the derived group is shown to be free-by-c...
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in cite{fr 1, fr 2} using faithful complex representations of cyclically pinched and conjugacy pinched one-relator groups we proved that any limit group has a faithful representation in $psl(2,c)$. further this representation can be effectively constructed using the jsj decomposition. in this note we show that any hyperbolic cyclically pinched one-relator group with maximal amalgamated ...
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Conjugacy separability of any group of the class of one-relator groups given by the presentation a, b; a m , b n 1m, n > 1 is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free products and some properties of the subgroups and quotients of any group of the class of one-relator groups given above.
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We consider the following conjecture. Suppose that G is a non-free non-cyclic onerelator group such that each subgroup of finite index is again a one-relator group and each subgroup of infinite index is a free group. Must G be a surface group? We show that if G is a freely indecomposable fully residually free group and satisfies the property that every subgroup of infinite index is free then G ...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 1997
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.1997.v10.n2.17397