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On the minimal dimension of a homology sphere on which a finite group acts

Published online by Cambridge University Press:  01 March 2008

BRUNO P. ZIMMERMANN
BRUNO P. ZIMMERMANN*
Affiliation:
Università degli Studi di Trieste, Dipartimento di Matematica e Informatica, 34100 Trieste, Italy. e-mail: [email protected]
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Abstract

We show that the minimal dimension of a faithful action of a metacyclic group , for primes p and q, on a homology sphere coincides with the minimal dimension of a faithful linear action on a sphere; as a consequence, we obtain the analogous result for various finite simple groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 2 , March 2008 , pp. 397 - 401
Copyright
Copyright © Cambridge Philosophical Society 2008

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