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2008 The Rational Homology Group of $\mathrm{Out}(F_n)$ for $n\leq 6$
Ryo Ohashi
Experiment. Math. 17(2): 167-179 (2008).

Abstract

We determine the rational homology group of $\mathrm{Out}(F_n)$ for $n\leq 6$. Combining this result with results of Conant and Vogtmann proves that the first two Morita classes are nontrivial. We conclude that these classes generate the nontrivial part of the rational homology in the range $n\leq 6$.

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Ryo Ohashi. "The Rational Homology Group of $\mathrm{Out}(F_n)$ for $n\leq 6$." Experiment. Math. 17 (2) 167 - 179, 2008.

Information

Published: 2008
First available in Project Euclid: 19 November 2008

zbMATH: 1191.20057
MathSciNet: MR2433883

Subjects:
Primary: 20J06
Secondary: 20F28 , 20F65

Keywords: automorphism groups , cohomology of groups

Rights: Copyright © 2008 A K Peters, Ltd.

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Vol.17 • No. 2 • 2008
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