Local splitting of locally compact groups and pro-Lie groups

Journal of Group Theory

Volumn 14, Issue 6, 2011, Pages 931-935

  Hofmann, Karl H ^a   Morris, Sidney A ^b,c  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF BALLARAT   (Australia)

^c LA TROBE UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80755152325     PISSN: 14335883     EISSN: 14354446     Source Type: Journal    
DOI: 10.1515/JGT.2011.090     Document Type: Article

References (11)

1. N. Bourbaki. Groupes et algèbres de Lie (Hermann, 1971).
2. K. H. Hofmann and S. A. Morris. The Structure of Compact Groups, 2nd Edition (Verlag Walter De Gruyter, 2006).
3. K. H. Hofmann and S. A. Morris. Transitive actions of compact groups and topological dimension. J. Algebra 234 (2000), 454-479.
4. K. H. Hofmann and S. A. Morris. The Lie Theory of Connected Pro-Lie Groups (EMS Publishing House, 2007).
5. K. H. Hofmann and S. A. Morris. Iwasawa's local splitting theorem for pro-Lie groups. Forum Math. 20 (2008), 607-629.
6. K. H. Hofmann and S. A. Morris. On the pro-Lie Group theorem and the closed subgroup theorem. J. Lie Theory 18 (2008), 383-390.
7. K. Iwasawa. On some types of topological groups. Ann. of Math. 50 (1949), 507-558.
8. G. A. A. Michael. A Counterexample in the Dimension Theory of Homogeneous Spaces of Locally Compact Groups. J. Lie Theory 18 (2008), 915-917.
9. G. A. A. Michael. The generalized Gluškov-Iwasawa local splitting theorem. J. Math. Sci. Univ. Tokyo 17 (2010), 123-133.
10. H. Yamabe. On the conjecture of Iwasawa and Gleason. Ann. of Math. 58 (1953), 48-54.
11. H. Yamabe. Generalization of a theorem of Gleason. Ann. of Math. 58 (1953), 351-365.