Strict Dead-End Elements in Free Soluble Groups
نویسندگان
چکیده
منابع مشابه
Strict Dead End Elements in Free Soluble Groups
Let G be a group generated by a finite set A. An element g ∈ G is a strict dead end of depth k (with respect to A) if |g| > |ga1| > |ga1a2| > · · · > |ga1a2 · · · ak| for any a1, a2, . . . , ak ∈ A such that the word a1a2 · · ·ak is freely irreducible. (Here |g| is the distance from g to the identity in the Cayley graph of G.) We show that in finitely generated free soluble groups of degree d ≥...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2008
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870701724243