Cohomological dimension and symmetric automorphisms of a free group
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Publication:1118689
DOI10.1007/BF02564663zbMath0669.20027OpenAlexW1978965646MaRDI QIDQ1118689
Publication date: 1989
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/140142
free groupvirtual cohomological dimensionfree generating setfree generatorgroup of symmetric automorphismsgroup of symmetric outer automorphisms
Homological methods in group theory (20J05) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)
Related Items (18)
Automorphisms of free groups with boundaries. ⋮ FIXED POINTS OF SYMMETRIC ENDOMORPHISMS OF GROUPS ⋮ The Burau representations of loop braid groups ⋮ Stabilization for the automorphisms of free groups with boundaries ⋮ The automorphism group of a free product of finite groups ⋮ Representation stability for the cohomology of the pure string motion groups. ⋮ Homology of holomorphs of free groups. ⋮ Rational homological stability for groups of partially symmetric automorphisms of free groups. ⋮ Hyperelliptic graphs and the period mapping on outer space ⋮ Automorphisms of 2-dimensional right-angled Artin groups. ⋮ Symmetric automorphisms of free groups, BNSR-invariants, and finiteness properties ⋮ Commutator subgroups of welded braid groups ⋮ Finiteness properties for a subgroup of the pure symmetric automorphism group. ⋮ The integral cohomology of the group of loops. ⋮ The pure symmetric automorphisms of a free group form a duality group ⋮ Calculating the virtual cohomological dimension of the automorphism group of a RAAG ⋮ Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups. ⋮ The Euler characteristic of the Whitehead automorphism group of a free product
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