Groups with finitely many conjugacy classes and their automorphisms.
From MaRDI portal
Publication:1012469
DOI10.4171/CMH/162zbMath1180.20033arXiv0704.0091MaRDI QIDQ1012469
Publication date: 21 April 2009
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.0091
conjugacy classesouter automorphism groupstorsion-free groupsembedding theoremssimple groupsrelatively hyperbolic groups2-generator groupstorsion-free countable groups
Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Hyperbolic groups and nonpositively curved groups (20F67)
Related Items
Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces, The Bass-Jiang group for automorphism-induced HNN-extensions, Local-global invariants of finite and infinite groups: around Burnside from another side., \(C^*\)-simple groups without free subgroups, On the outer automorphism groups of finitely generated, residually finite groups., Normal automorphisms of relatively hyperbolic groups, Small cancellations over relatively hyperbolic groups and embedding theorems., Every group is the outer automorphism group of an HNN-extension of a fixed triangle group, Virtually splitting the map from $\operatorname {Aut}(G)$ to $\operatorname {Out}(G)$, Examples of groups whose automorphisms have exotic growth