Automorphism Groups of Generalized (Binary) Icosahedral, Tetrahedral and Octahedral Groups

DOI10.1142/S1005386711000277zbMath1241.20035MaRDI QIDQ3088401

Marek Golasiński, Daciberg Lima Gonçalves

Publication date: 19 August 2011

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://worldscinet.com/ac/18/1803/S1005386711000277.html

zbMATH Keywords

automorphism groupsgeneralized binary groupsperiodic group cohomology

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28)

Related Items (4)

On automorphisms of finite Abelian p-groups ⋮ Free and properly discontinuous actions of groups \(G\rtimes\mathbb Z^m\) and \(G_1*_{G_0}G_2\) ⋮ Fixed point theory of spherical 3-manifolds ⋮ On automorphisms of split metacyclic groups.

Cites Work

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• Spherical space forms -- homotopy self-equivalences and homotopy types, the case of the groups \(\mathbb Z/a\rtimes (\mathbb Z/b \times TL_2(\mathbb F_p))\)
• Spherical space forms--Homotopy types and self-equivalences for the groups \(\mathbb Z/a \rtimes \mathbb Z/b\) and \(\mathbb Z/a \rtimes(\mathbb Z/b \times \mathbb Q_{2^i})\)
• On the automorphisms of the symplectic group over any field
• Automorphisms of Finite Linear Groups
• Spherical Space Forms: Homotopy Types and Self-Equivalences for the Group (ℤ/a ⋊ ℤ/b) × SL₂ (_p)

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