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Random Generation of Finite Simple Groups

โœ Scribed by Robert M. Guralnick; Martin W. Liebeck; Jan Saxl; Aner Shalev

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
88 KB
Volume
219
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Probabilistic Generation of Finite Simpl
Probabilistic Generation of Finite Simple Groups
โœ Robert M. Guralnick; William M. Kantor ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

For each finite simple group G there is a conjugacy class C such that each G nontrivial element of G generates G together with any of more than 1r10 of the members of C . Precise asymptotic results are obtained for the probability implicit G in this assertion. Similar results are obtained for almost

Generic Patterns for Extensions of Simpl
Generic Patterns for Extensions of Simple Modules for Finite Chevalley Groups
โœ Cornelius Pillen ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 78 KB

This paper describes generic patterns for the extensions between simple modules of a finite Chevalley group. A one-to-one correspondence between these extensions and the extensions between certain simple modules of the ambient algebraic group are established. It is shown that an extension appears in

A Characterization of the Finite Simple
A Characterization of the Finite Simple Groups
โœ Li Xianhua ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 226 KB

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

Locally Finite Simple Groups of 1-Type
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

p-Steinberg Characters of Finite Simple
p-Steinberg Characters of Finite Simple Groups
โœ Pham Huu Tiep ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 215 KB

Let G be a finite group and p a prime divisor of conjecture of W. Feit states that if a finite simple group G has a p-Steinberg character then G is a finite simple group of Lie type in characteristic p. In this paper we prove this conjecture, using the classification of finite simple groups.