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On conditional permutability and factorized groups

✍ Scribed by M. Arroyo-Jordá,P. Arroyo-Jordá…


Book ID
126348878
Publisher
Springer
Year
2013
Tongue
English
Weight
242 KB
Volume
193
Category
Article
ISSN
0373-3114

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On Finite Groups Satisfying the Permutiz
✍ James C. Beidleman; Derek J.S. Robinson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 231 KB

A group G satisfies the permutizer condition P if each proper subgroup H of G permutes with some cyclic subgroup not contained in H. The structure of finite groups with P is studied, the main result being that such groups are soluble with chief factors of order 4 or a prime. The classification of fi