The composition and derived lengths of a soluble group
β Scribed by S.P. Glasby
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 451 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π 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.
A formation is a class 3 of groups which is closed under homomorphic images and is such that each group G has a unique smallest normal subgroup H with factor group in 5. This uniquely determined normal subgroup of G is called the 8-residual subgroup of G and will be denoted here by G,. The formatio
In 1991 Dixon and Kovacs 8 showed that for each field K which has finite degree over its prime subfield there is a number d such that every K finite nilpotent irreducible linear group of degree n G 2 over K can be w x wx ' generated by d nr log n elements. Afterwards Bryant et al. 3 proved K ' d G F