Spherical space forms -- homotopy self-equivalences and homotopy types, the case of the groups \(\mathbb Z/a\rtimes (\mathbb Z/b \times TL_2(\mathbb F_p))\)

DOI10.1016/j.topol.2009.08.004zbMath1185.55004OpenAlexW2062479463MaRDI QIDQ1032915

Marek Golasiński, Daciberg Lima Gonçalves

Publication date: 5 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.08.004

zbMATH Keywords

automorphism groupfree and cellular \(G\)-actiongroup of self-homotopy equivalencesLyndon-Hochschild-Serre space form

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)

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Cites Work

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• 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 \(\mathbb Z/a \rtimes (\mathbb Z/b \times O^\star_n)\)
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