Abelian extensions of topological vector groups
β Scribed by U. Cattaneo
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 502 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
In this paper, we prove that the category TAb of topological Abelian groups is quasi-Abelian. Using results about derived projective limits in quasi-Abelian categories, we study exactness properties of the projective limit functor in TAb. If X is a projective system of TAb indexed by a filtering ord
lGl=p", where n=n,+n,+. , . + n r 2 ) like 1) with apnn=b,, instead of apnn=l. Proof. Let G be a group of order p" with an elementary abelian normal subgroup B for which GIB is cyclic of order p"". Further let aB be a generating element of GIB. Then upnn B. The group (a) suffers from B a representat
## Abstract We characterize preservation of superstability and Οβstability for finite extensions of abelian groups and reduce the general case to the case of __p__βgroups. In particular we study finite extensions of divisible abelian groups. We prove that superstable abelianβbyβfinite groups have o