Splitting in map groups
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- by Lewis Robertson and Theodore W. Wilcox PDF
- Proc. Amer. Math. Soc. 33 (1972), 613-618 Request permission
Abstract:
Every locally compact maximally almost periodic group G has a normal vector subgroup, the centralizer of which is of finite index. This vector subgroup is nontrivial whenever the identity component of G is not compact. Furthermore, if G has relatively compact conjugacy classes, then $G \cong {R^n} \times L$ where L has a compact open normal subgroup. Several structure theorems are also obtained for cases in which splitting need not occur.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 613-618
- MSC: Primary 22D12
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296210-X
- MathSciNet review: 0296210