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Characterization of the finite simple groups by spectrum and order

✍ Scribed by A. V. Vasil’ev; M. A. Grechkoseeva; V. D. Mazurov


Publisher
Springer US
Year
2009
Tongue
English
Weight
430 KB
Volume
48
Category
Article
ISSN
0002-5232

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📜 SIMILAR VOLUMES


A Characterization of the Finite Simple
✍ Li Xianhua 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 226 KB

In this paper, we obtain a quantitative characterization of all finite simple groups. Let π t G denote the set of indices of maximal subgroups of group G and let P G be the smallest number in π t G . We have the following theorems. Theorem 2. Let N and G be finite simple groups. If N divides G , P