A class of three-engel groups
β Scribed by Hermann Heineren
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 186 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Finite groups, maximal class MSC (2010) 20D15 Let R be the ring Z[x]/ x p -1 x -1 = Z[x] and let a be the ideal of R generated by (x -1). In this paper, we discuss the structure of the Z[Cp ]-module (R/a n -1 )β§(R/a n -1 ), which plays an important role in the theory of p-groups of maximal cla
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