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  <titleInfo>
    <title>Subgroup decomposition in Out(Fn)</title>
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  <name type="personal">
    <namePart>Handel, Michael</namePart>
    <namePart type="date">1949-</namePart>
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  <name type="personal">
    <namePart>Mosher, Lee</namePart>
    <namePart type="date">1957-</namePart>
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  <genre authority="">Electronic books.</genre>
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    <dateIssued encoding="marc">2020</dateIssued>
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  <tableOfContents>Introduction to subgroup decomposition - Preliminaries : decomposing outer automorphisms -- Geometric EG strata and geometric laminations -- Vertex groups and vertex group systems -- Statements of the main results -- Preliminaries -- An outline of the relative Kolchin theorem -- IAn(Z/3) periodic conjugacy classes -- IAn(Z/3) periodic free factors -- Limit trees -- Carrying asymptotic data : proposition 3.4 -- Finding Nielsen pairs : proposition 3.7 -- The nonattracting subgroup system -- Nonattracted lines -- Ping-pong on geodesic lines -- Proof of theorem C -- A filling lemma.</tableOfContents>
  <note type="statement of responsibility">Michael Handel, Lee Mosher.</note>
  <note>"March 2020, volume 264, number 1280 (third of 6 numbers)."</note>
  <note>Includes bibliographical references and index.</note>
  <subject authority="msc">
    <topic>Manifolds and cell complexes {For complex manifolds, see 32Qxx} -- Low-dimensional topology -- Topological methods in group theory</topic>
  </subject>
  <subject authority="msc">
    <topic>Group theory and generalizations -- Structure and classification of infinite or finite groups -- Free nonabelian groups</topic>
  </subject>
  <subject authority="msc">
    <topic>Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory [See also 05C25, 20E08, 57Mxx]</topic>
  </subject>
  <subject authority="msc">
    <topic>Group theory and generalizations -- Special aspects of infinite or finite groups -- Automorphism groups of groups [See also 20E36]</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Non-Abelian groups</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Geometric group theory</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Decomposition (Mathematics)</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Automorphisms</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Algebraic topology</topic>
  </subject>
  <classification authority="lcc">QA174.2 .H363 2020</classification>
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