Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups
نویسندگان
چکیده
منابع مشابه
Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups
We study a classM of cyclically presented groups that includes both finite and infinite groups and is defined by a certain combinatorial condition on the defining relations. This class includes many finite metacyclic generalized Fibonacci groups that have been previously identified in the literature. By analysing their shift extensions we show that the groups in the class M are are coherent, su...
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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...
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Article history: Received 23 March 2014 Available online xxxx Communicated by E.I. Khukhro
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.02.002