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HOMOTOPY TYPES OF ORBIT SPACES AND THEIR SELF-EQUIVALENCES FOR THE PERIODIC GROUPS Z/a x (Z/b xT(n)*) AND Z/a x (Z/a x O-n*)

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Author(s):
Golasinski, Marek ; Goncalves, Daciberg Lima
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF HOMOTOPY AND RELATED STRUCTURES; v. 1, n. 1, p. 17-pg., 2006-01-01.
Abstract

Let G be a finite group given in one of the forms listed in the title with period 2d and X(n) an n-dimensional CW-complex with the homotopy type of an n-sphere. We study the automorphism group Aut (G) to compute the number of distinct homotopy types of orbit spaces X (2dn - 1)/mu with respect to free and cellular G-actions mu on all CW-complexes X (2dn - 1). At the end, the groups epsilon(X (2dn - 1)/mu) of self homotopy equivalences of orbit spaces X (2dn - 1)/mu associated with free and cellular G-actions mu on X (2dn - 1) are determined. (AU)

FAPESP's process: 00/05385-8 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants