Work

Semifree finite group actions on homotopy spheres

Year: 1982

Type: article

Abstract: Suppose G is a finite group acting semifreely (i.e., free off the fixed set) on a finite CW complex X in the homotopy type of S n .When X G is also homotopy equivalent to S n (as e.g., in S n X D κ ) necessary and sufficent conditions are given to determine the degree of the inclusion X G -> X.It follows that for instance, if G is the group of quaternions (nonabelian of order 8), the only attainable degrees are those ± 1 (mod 8).0* Introduction* Suppose that G is a finite group acting cellularly and semifreely (i.e., free off the fixed set) on a finite CWcomplex X, in the homotopy type of S\ Assume that X G

Source: Pacific Journal of Mathematics

DOI: 10.2140/pjm.1982.103.25

Author: Ronald Dotzel

Institutions: University of California, Los Angeles, University of Missouri–St. Louis, The University of Texas at Austin

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2043912393

FWCI: 5.788

Cites: 17

Cited by: 15

Related to: 10