A Note on Additive Subgroups of Finite Rings
โ Scribed by John S. Wilson
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 55 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
## Introduction. 1. p-groups with Small Groups of Operators. 2. The Number of Solutions to x p s 1 in a Sylow p-subgroup of the Symmetric Group. 3. p-groups with Maximal Elementary Subgroup of Order p 2 . 4. On the Maximal Order of Subgroups of Given Exponent in a p-group. ## 5. p-groups with
We study additive isomorphisms of prime rings preserving a multilinear polynomial of degree G 2. Our main theorem generalizes a number of results obtained for Jordan, n-Jordan, Lie, and Lie triple isomorphisms of prime rings. แฎ 1999 Academic Press ร 4 ลฝ . ลฝ .
We characterize the pairs K, n , K a field, n a positive integer, for which there ลฝ . is a bound on the orders of finite subgroups of PGL K . Explicit bounds are given n in important cases. An application is made to the analogous problem for central simple K-algebras of degree n.