Group actions and group extensions
Author:
Ergün Yalçin
Journal:
Trans. Amer. Math. Soc. 352 (2000), 2689-2700
MSC (1991):
Primary 57S25; Secondary 20J06, 20C15
DOI:
https://doi.org/10.1090/S0002-9947-00-02485-5
Published electronically:
February 24, 2000
MathSciNet review:
1661282
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we study finite group extensions represented by special cohomology classes. As an application, we obtain some restrictions on finite groups which can act freely on a product of spheres or on a product of real projective spaces. In particular, we prove that if $(Z/p)^r$ acts freely on $(S^1)^k$, then $r \leq k$.
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Additional Information
Ergün Yalçin
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Address at time of publication:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email:
eyalcin@math.indiana.edu
Keywords:
Group extensions,
special classes,
products of spheres,
cohomology of groups
Received by editor(s):
January 30, 1998
Published electronically:
February 24, 2000
Additional Notes:
Partially supported by NATO grants of the Scientific and Technical Research Council of Turkey
Article copyright:
© Copyright 2000
American Mathematical Society
