On Bonnet's Theorem
β Scribed by V.B. Egorov
- Publisher
- Elsevier Science
- Year
- 1958
- Tongue
- English
- Weight
- 665 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
π 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
In thiq paper we prove the following: let G be a graph with k edges, wihich js (k -l)-edgeconnectd, and with all valences 3k k. Let 1 c r~ k be an integer, then (3 -tins a spanning subgraph H, so that all valences in H are ar, with no more than r~/r:] edges. The proof is based on a useful extension