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On the normalizer condition and barely transitive permutation groups

✍ Scribed by B. Hartley


Publisher
Springer US
Year
1974
Tongue
English
Weight
611 KB
Volume
13
Category
Article
ISSN
0002-5232

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On Finite Groups Satisfying the Permutiz
✍ James C. Beidleman; Derek J.S. Robinson πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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