On bounded engel elements in groups
β Scribed by Dieter Held
- Publisher
- Elsevier Science
- Year
- 1966
- Tongue
- English
- Weight
- 278 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
It is shown that there is a close connection between the right 2-Engel elements of a group and the set of the so-called commuting automorphisms of the group. As a consequence, the following general theorem is proved: If G is a group and if Ε½ . R G denotes the subgroup of right 2-Engel elements, then
We investigate C-compact and relatively pseudocompact subsets of Tychonoff spaces with a special emphasis given to subsets of topological groups. It is shown that a relatively pseudocompact subset of a space X is C-compact in X, but not vice versa. If, however, X is a topological group, then these p