Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $/textrm {Out}(F_n)$
Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-6698-5 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6698-5 (ISBN)
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.
Michael Handel, CUNY Lehman College, New York, New York. Lee Mosher, Rutgers University-Newark, New Jersey.
Erscheinungsdatum | 02.02.2024 |
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Reihe/Serie | Memoirs of the American Mathematical Society ; Volume: 292 Number: 1454 |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 272 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-6698-8 / 1470466988 |
ISBN-13 | 978-1-4704-6698-5 / 9781470466985 |
Zustand | Neuware |
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Buch | Softcover (2015)
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