Splitting in Topological Groups.
- 1st ed.
- 1 online resource (89 pages)
- Memoirs of the American Mathematical Society ; v.1 .
- Memoirs of the American Mathematical Society .
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.