On Thompson's simple group
โ 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.
๐ SIMILAR VOLUMES
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
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
## 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