The derived length of Lie soluble group rings I
โ Scribed by Aner Shalev
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 620 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
In this note we prove two results concerned with the derived length of p-groups. First, we improve a little a lower bound of P. Hall for the order of a group of a given derived length. Next, we improve a bound for the derived length of a product of two p-groups.
In this work we investigate finite groups of Lie type in which no subgroup chain of greatest length contains a parabolic subgroup. For Lie type groups of odd characteristic \(p, p \leq 29\), we determine a complete list of such groups. c 1994 Academic Press, Inc.
Let R be a prime ring with involution of the first kind, and characteristic / 2, 3. Let K denote the skew elements of R, and let C denote the extended centroid of ลฝ . R . Assume that RC : C / 1, 4, 16. It is shown that any Lie derivation of K into ยฒ : itself can be extended to an ordinary derivation