Automorphisms of free groups with boundaries
نویسندگان
چکیده
منابع مشابه
Automorphisms of Free Groups with Boundaries
The automorphisms of free groups with boundaries form a family of groups An,k closely related to mapping class groups, with the standard automorphisms of free groups as An,0 and (essentially) the symmetric automorphisms of free groups as A0,k . We construct a contractible space Ln,k on which An,k acts with finite stabilizers and finite quotient space and deduce a range for the virtual cohomolog...
متن کاملStabilization for the Automorphisms of Free Groups with Boundaries
There is by now a significant literature on homological stability properties of various families of discrete groups, including matrix groups, mapping class groups of surfaces, and automorphism groups of free groups. The present paper is yet another contribution in this direction, for a family of groups An,k that can be thought of as relative versions of automorphism groups of free groups. These...
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In this article we will find necessary and sufficient conditions for a fixed point free automorphism (fpf automorphism) of a group to be a commuting automorphism. For a given prime we find the smallest order of a non abelian p-group admitting a commuting f...
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متن کاملErratum to “Stabilization for the automorphisms of free groups with boundaries”
The gap in [5] occurs in Section 4 in the proof of assertions (A) and (B), at the point where there are diagram chasing arguments in two commutative diagrams (displayed on page 1333 for case (A)). In each diagram the groups Gn in the two rows are isomorphic but not identical. If we denote by Gn and G n these two isomorphic groups, the first diagram chase needs the composition Hi.Gn/!Hi.GnC1/!Hi...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2004
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2004.4.543