Subgroups of powerful groups
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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.