Actions of SL(n,Z) on homology spheres

Kamlesh Parwani

Actions of SL(n,Z) on homology spheres

Eastern Illinois University

Research output: Contribution to journal › Article › peer-review

Abstract

Any continuous action of SL(n,Z), where n > 2, on a r-dimensional mod 2 homology sphere factors through a finite group action if r < n - 1. In particular, any continuous action of SL(n+2,Z) on the n-dimensional sphere factors through a finite group action.

Original language	American English
Journal	Geometriae Dedicata
Volume	112
State	Published - Apr 2005

Disciplines

Mathematics

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Cite this

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title = "Actions of SL(n,Z) on homology spheres",

abstract = " Any continuous action of SL(n,Z), where n > 2, on a r-dimensional mod 2 homology sphere factors through a finite group action if r < n - 1. In particular, any continuous action of SL(n+2,Z) on the n-dimensional sphere factors through a finite group action.",

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AB - Any continuous action of SL(n,Z), where n > 2, on a r-dimensional mod 2 homology sphere factors through a finite group action if r < n - 1. In particular, any continuous action of SL(n+2,Z) on the n-dimensional sphere factors through a finite group action.

M3 - Article

VL - 112

JO - Geometriae Dedicata

JF - Geometriae Dedicata

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