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The periodic groups saturated by finitely many finite simple groups

✍ Scribed by D. V. Lytkina; L. R. Tukhvatullina; K. A. Filippov

Publisher: SP MAIK Nauka/Interperiodica
Year: 2008
Tongue: English
Weight: 135 KB
Volume: 49
Category: Article
ISSN: 0037-4466
DOI: 10.1007/s11202-008-0031-y

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✍ 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