Cyclically separated 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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Let W be an arbitrary Coxeter group. If two elements have expressions that are cyclic shifts of each other (as words), then they are conjugate (as group elements) in W . We say that w is cyclically fully commutative (CFC) if every cyclic shift of any reduced expression for w is fully commutative (i.e., avoids long braid relations). These generalize Coxeter elements in that their reduced express...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1982
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700005840