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Element orders and Sylow structure of finite groups

✍ Scribed by Gunter Malle; Alexander Moretó; Gabriel Navarro


Publisher
Springer-Verlag
Year
2005
Tongue
French
Weight
145 KB
Volume
252
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES


Sylow Numbers of Finite Groups
✍ J.P. Zhang 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 661 KB

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

Sylow Permutable Subnormal Subgroups of
✍ A. Ballester-Bolinches; R. Esteban-Romero 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 104 KB

## 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