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
β¦ LIBER β¦
On Chakalov's theorem
β Scribed by I.P. Mysovskikh
- Publisher
- Elsevier Science
- Year
- 1975
- Weight
- 430 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0041-5553
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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