Sylow Intersections in Finite Groups
โ Scribed by Ben Brewster; Peter Hauck
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 347 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A natural number \(n\) is said to be a Sylow number for a finite group \(G\) if \(n\) is the number of Sylow \(p\)-subgroups of \(G\) for some prime \(p\). We initiate in this paper a systematic study on how arithmetical conditions on Sylow numbers influence the group structure. This new perspective
## dedicated to john cossey on the occasion of his 60th birthday An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgrou