Cyclically presented groups embedded in one-relator products of cyclic groups
نویسندگان
چکیده
منابع مشابه
Virtual Properties of cyclically pinched One-Relator Groups
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...
متن کاملCyclically 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.
متن کاملfaithful real representations of cyclically pinched one-relator groups
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 ...
متن کاملExponential Genus Problems in One–relator Products of Groups
Exponential equations in free groups were studied initially by Lyndon and Schützenberger [26] and then by Comerford and Edmunds [5]. Comerford and Edmunds showed that the problem of determining whether or not the class of quadratic exponential equations have solution is decidable, in finitely generated free groups. In this paper we show that for finite systems of quadratic exponential equations...
متن کاملCyclically Presented Groups and Resultants
We consider the family of irreducible cyclically presented groups on n generators whose generating word (in the standard rewrite) has length at most 15. Using the software packages KBMAG, quotpic and Magma, together with group and number theoretic methods, we show that if 6 ≤ n ≤ 100 then the group is non-trivial. In an appendix we list the 47 cases within 2 ≤ n ≤ 100 for which we know the grou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1993
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1993-1140665-9