On a theorem of Berkovich
β Scribed by Manuel J. Alejandre; A. Ballester-Bolinches
- Publisher
- The Hebrew University Magnes Press
- Year
- 2002
- Tongue
- English
- Weight
- 344 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this note we prove that a finite group is almost solvable if every irreducible Ε½ character is induced from a character of degree at most 4 more precisely, such a Ε½ . Ε½ . .
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
In this paper we give a computer proof of a new polynomial identity, which extends a recent result of Alladi and the first author. In addition, we provide computer proofs for new finite analogs of Jacobi and Euler formulas. All computer proofs are done with the aid of the new computer algebra packag