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Splitting in Topological Groups.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1963Copyright date: ©1963Edition: 1st edDescription: 1 online resource (89 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821899878
Subject(s): Genre/Form: Additional physical formats: Print version:: Splitting in Topological GroupsLOC classification:
  • QA387.H64 1963
Online resources:
Contents:
Intro -- INTRODUCTION -- I. CROSSED ENDOMORPHISMS AND SPLITTING OF GROUPS -- II. THE RADICAL AND THE CROSSED RADICAL -- III. QUOTIENT SPACES WITH INVARIANT MEANS -- IV. FIRST APPLICATION -- V. SPLITTING OF VECTOR SUBGROUPS WITH COMPACT QUOTIENT -- VI. SECOND APPLICATION -- VII. NORMAL HILBERT SUBGROUPS IN TOPOLOGICAL GROUPS -- VIII. SPLITTING OF VECTOR SOLVABLE SUBGROUPS -- IX. A DIGRESSION INTO LOCALLY COMPACT GROUPS -- X. SPLITTING CENTRAL VECTOR GROUPS IN TOPOLOGICAL GROUPS -- XI. EXAMPLES OF NON-SPLITTING EXTENSIONS -- XII. LOCALLY COMPACT GROUPS WITH INVARIANT NEIGHBORHOODS OF THE IDENTITY -- XIII. SIXTH APPLICATION -- XIV. UNIMODULARITY -- BIBLIOGRAPHY -- APPENDIX.
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Intro -- INTRODUCTION -- I. CROSSED ENDOMORPHISMS AND SPLITTING OF GROUPS -- II. THE RADICAL AND THE CROSSED RADICAL -- III. QUOTIENT SPACES WITH INVARIANT MEANS -- IV. FIRST APPLICATION -- V. SPLITTING OF VECTOR SUBGROUPS WITH COMPACT QUOTIENT -- VI. SECOND APPLICATION -- VII. NORMAL HILBERT SUBGROUPS IN TOPOLOGICAL GROUPS -- VIII. SPLITTING OF VECTOR SOLVABLE SUBGROUPS -- IX. A DIGRESSION INTO LOCALLY COMPACT GROUPS -- X. SPLITTING CENTRAL VECTOR GROUPS IN TOPOLOGICAL GROUPS -- XI. EXAMPLES OF NON-SPLITTING EXTENSIONS -- XII. LOCALLY COMPACT GROUPS WITH INVARIANT NEIGHBORHOODS OF THE IDENTITY -- XIII. SIXTH APPLICATION -- XIV. UNIMODULARITY -- BIBLIOGRAPHY -- APPENDIX.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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