Some diophantine problems arising from the theory of cyclically-presented groups
نویسندگان
چکیده
منابع مشابه
Cyclically 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...
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Largeness, SQ-universality, and the existence of free subgroups of rank 2 are measures of the complexity of a finitely presented group. We obtain conditions under which a cyclically presented group possesses one or more of these properties. We apply our results to a class of groups introduced by Prishchepov which contain, amongst others, the various generalizations of Fibonacci groups introduce...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1999
ISSN: 0017-0895
DOI: 10.1017/s0017089599950383