๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Thompson's simple group

โœ Scribed by David Parrott


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
920 KB
Volume
46
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On Thompson's Theorem
โœ Lev Kazarin; Yakov Berkovich ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

Let p be a prime divisor of the order of a finite group G. Thompson (1970, J. Algebra 14, 129-134) has proved the following remarkable result: a finite group G is p-nilpotent if the degrees of all its nonlinear irreducible characters are divisible by p (in fact, in that case G is solvable). In this

On Thompson's Conjecture
โœ Chen Guiyun ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

ลฝ . ร„ < Let G be a finite group and N G s n g N G has a conjugacy class C, such < < 4 that C s n . Professor J. G. Thompson has conjectured that ''If G be a finite ลฝ . ลฝ . group with Z G s 1 and M a nonabelian simple group satisfying that N G s ลฝ . N M , then G ( M.'' We have proved that if M is a s

Further Reflections on Thompson's Conjec
โœ Guiyun Chen ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 85 KB

## ลฝ . ร„ < Let G be a finite group and let N G s n g N G has a conjugacy class C, We have proved previously that: If M is a sporadic simple group or a simple group having its prime graph with at least three prime graph components, then Thompson's conjecture is correct. In this paper, we shall pro

A note on Harada's simple group F
โœ Bert Beisiegel ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 431 KB