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The nonexistence of a certain type of finite simple group

โœ Scribed by Donald Wright


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
154 KB
Volume
30
Category
Article
ISSN
0021-8693

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Locally Finite Simple Groups of 1-Type
โœ Stefaan Delcroix; Ulrich Meierfrankenfeld ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

A locally finite, simple group G is said to be of 1-type if every Kegel cover for G has a factor which is an alternating group. In this paper we study the finite subgroups of locally finite simple groups of 1-type. We also introduce the concept of ''block-diagonal embeddings'' for groups of alternat

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