𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On splitting extensions by torsion groups

✍ Scribed by M.J Schoeman

Publisher
Elsevier Science
Year
1973
Weight
290 KB
Volume
76
Category
Article
ISSN
1385-7258

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Splitting of group extensions
Splitting of group extensions
✍ Gautam N Pandya πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science 🌐 English βš– 764 KB
On Almost-Dense Extension Groups of Tors
On Almost-Dense Extension Groups of Torsion-Free Groups
✍ Takashi Okuyama πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 290 KB

Let A be a torsion-free group. A mixed group G is said to be an almost dense Ε½ . ## Ε½ . extension group ADE group of In the case that A is of rank 1 and G is cyclic for every prime p, we establish the p structure theorem, the representation theorem, the realization theorem, and the classification

On Torsion-by-Nilpotent Groups
On Torsion-by-Nilpotent Groups
✍ GΓ©rard Endimioni; Gunnar Traustason πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 76 KB

Let C C be a class of groups, closed under taking subgroups and quotients. We prove that if all metabelian groups of C C are torsion-by-nilpotent, then all soluble groups of C C are torsion-by-nilpotent. From that, we deduce the following conse-Ε½ quence, similar to a well-known result of P. Hall 195