Spherical space forms--Homotopy types and self-equivalences for the groups \(\mathbb Z/a \rtimes \mathbb Z/b\) and \(\mathbb Z/a \rtimes(\mathbb Z/b \times \mathbb Q_{2^i})\)

DOI10.1016/j.topol.2003.08.030zbMath1068.55001OpenAlexW2060286925MaRDI QIDQ1763612

Marek Golasiński, Daciberg Lima Gonçalves

Publication date: 22 February 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2003.08.030

zbMATH Keywords

automorphism groupCW-complexspherical space formfree and cellular G-actiongroup of self homotopy 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 ⋮ 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. ⋮ The Multiplicative Automorphisms of a Finite Nearfield, with an Application ⋮ 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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• The group of self-equivalences of certain complexes
• Mappings of manifolds and the notion of degree
• Groups Which Act on S n Without Fixed Point
• Homology
• Homotopy spherical space forms -- a numerical bound for homotopy types
• Periodic complexes and group actions

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