Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\textrm {Out}(F_n)$

Author:   Michael Handel ,  Lee Mosher
Publisher:   American Mathematical Society
Volume:   Volume: 292 Number: 1454
ISBN:  

9781470466985


Pages:   170
Publication Date:   29 February 2024
Format:   Paperback
Availability:   In Print   Availability explained
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Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\textrm {Out}(F_n)$


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Overview

In this two part work we prove that for every finitely generated subgroup ? < Out(Fn), either ? is virtually abelian or H2 b (?; R) contains a vector space embedding of 1. The method uses actions on hyperbolic spaces. In Part I we focus on the case of infinite lamination subgroups ?—those for which the set of all attracting laminations of all elements of ? is an infinite set—using actions on free splitting complexes of free groups. In Part II we focus on finite lamination subgroups ? and on the construction of useful new hyperbolic actions of those subgroups.

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Author:   Michael Handel ,  Lee Mosher
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Volume: 292 Number: 1454
Weight:   0.272kg
ISBN:  

9781470466985


ISBN 10:   1470466988
Pages:   170
Publication Date:   29 February 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Michael Handel, CUNY Lehman College, New York, New York. Lee Mosher, Rutgers University-Newark, New Jersey.

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