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A Remark on ℨ-Permutability of Finite Groups

✍ Scribed by Li Fang Wang; Yan Ming Wang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2007
Tongue
English
Weight
208 KB
Volume
23
Category
Article
ISSN
1439-7617

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On Permutation Groups of Finite Type
✍ Clara Franchi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 213 KB

A permutation group G is said to be a group of finite type {k}, k a positive integer, if each nonidentity element of G has exactly k fixed points. We show that a group G can be faithfully represented as an irredundant permutation group of finite type if and only if G has a non-trivial normal partiti