Discrete groups with finite decomposition complexity
نویسندگان
چکیده
منابع مشابه
Weak Coherence of Groups and Finite Decomposition Complexity
The weak regular coherence (WRC) property of a finitely generated group Γ was introduced by G. Carlsson and this author to play the role of a weakening of Waldhausen’s regular coherence as part of computation of the integral K-theoretic assembly map. This property is a coarse invariant of the word metric. It was shown that groups with finite asymptotic dimension (FAD) have this property. A new ...
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The weak regular coherence is a coarse property of a finitely generated group Γ. It was introduced by G. Carlsson and this author to play the role of a weakening of Waldhausen’s regular coherence as part of computation of the integral K-theoretic assembly map. A new class of metric spaces (sFDC) was introduced recently by A. Dranishnikov and M. Zarichnyi. This class includes most notably the sp...
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For a finite group $G$ and a subgroup $H$ of $G$, the relative commutativity degree of $H$ in $G$, denoted by $d(H,G)$, is the probability that an element of $H$ commutes with an element of $G$. Let $mathcal{D}(G)={d(H,G):Hleq G}$ be the set of all relative commutativity degrees of subgroups of $G$. It is shown that a finite group $G$ admits three relative commutativity degrees if a...
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ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2013
ISSN: 1661-7207
DOI: 10.4171/ggd/186