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Subgroups of powerful groups

✍ Scribed by Avinoam Mann; Fania Posnick-Fradkin


Publisher
The Hebrew University Magnes Press
Year
2003
Tongue
English
Weight
416 KB
Volume
138
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Normal Subgroups in Substitution Groups
✍ Benjamin Klopsch πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 128 KB

Let R be a commutative ring with 1, and let R = t + t 2 RΝ tΝ‘ be the group of normalized formal power series over R under substitution. In this paper we investigate the connection between the ideal structure of R and the normal subgroup structure of R . In particular, we show that, if K is a finite f

Near subgroups of groups
✍ D.G. Hoffman; Sylvia Hobart; Ronald C. Mullin πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 467 KB

A finite subset A of a group is a near subgroup if the number of ordered pairs (x, y) e A 2 with xy ~ A is at most I A [. We show here that if I A I >/5, then A is a near subgroup if and only if A w {g} is a subgroup for some group element g. We also classify the counterexamples if LAI~< 4.