High extensions of Abelian groups
β Scribed by D. K. Harrison; J. M. Irwin; C. L. Peercy; E. A. Walker
- Publisher
- Akadmiai Kiad
- Year
- 1963
- Tongue
- English
- Weight
- 746 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An abelian group G is almost A-solvable if the natural map ΓG: Hom(A; G) E(A) A β G is a quasi-isomorphism. Two strongly indecomposable torsion-free abelian groups A and B of ΓΏnite rank are quasi-isomorphic if and only if the classes of almost A-solvable and almost B-solvable groups coincide. Homolo
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