Homotopy types of orbit spaces and their self-equivalences for the periodic groups \(\mathbb Z/a \rtimes (\mathbb Z/b \times T^\star_n)\) and \(\mathbb Z/a \rtimes (\mathbb Z/b \times O^\star_n)\)

zbMath1129.55003arXivmath/0602452MaRDI QIDQ2381407

Marek Golasiński, Daciberg Lima Gonçalves

Publication date: 17 September 2007

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602452

zbMATH Keywords

homotopy sphere finite group action finite group spherical space form orbit spaces

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Automorphism groups of groups (20F28)

Related Items (7)

Unnamed Item ⋮ Free and properly discontinuous actions of discrete groups on homotopy circles ⋮ Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold ⋮ 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. ⋮ On automorphisms of split metacyclic 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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