Spherical Space Forms: Homotopy Types and Self-Equivalences for the Group (ℤ/a ⋊ ℤ/b) × SL2 (p)

DOI10.4153/CMB-2007-022-5zbMath1145.55004OpenAlexW1977936538MaRDI QIDQ5436641

Marek Golasiński, Daciberg Lima Gonçalves

Publication date: 17 January 2008

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2007-022-5

zbMATH Keywords

space formspecial linear groupself-equivalences

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Extensions, wreath products, and other compositions of groups (20E22) Finite transformation groups (57S17) Automorphism groups of groups (20F28)

Related Items (10)

Unnamed Item ⋮ Free and properly discontinuous actions of discrete groups on homotopy circles ⋮ \(K\)-theory of noncommutative Bieberbach manifolds ⋮ On smooth manifolds with the homotopy type of a homology sphere ⋮ The cohomology ring of certain families of periodic virtually cyclic groups ⋮ The classification and the conjugacy classes of the finite subgroups of the sphere braid groups. ⋮ Free and properly discontinuous actions of groups \(G\rtimes\mathbb Z^m\) and \(G_1*_{G_0}G_2\) ⋮ On automorphisms of split metacyclic groups. ⋮ Automorphism Groups of Generalized (Binary) Icosahedral, Tetrahedral and Octahedral Groups ⋮ Spherical space forms -- homotopy self-equivalences and homotopy types, the case of the groups \(\mathbb Z/a\rtimes (\mathbb Z/b \times TL_2(\mathbb F_p))\)

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