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RESEARCH PRODUCT
A conjecture on the number of conjugacy classes in ap-solvable group
Gabriel NavarroM. J. IranzoF. Pérez Monasorsubject
CombinatoricsDiscrete mathematicsNilpotentConjugacy classConjectureSolvable groupGroup (mathematics)General MathematicsBounded functionAlgebra over a fieldMathematicsdescription
IfG is ap-solvable group, it is conjectured that k(G/O P (G) ≤ |G| p ′. The conjecture is easily obtained for solvable groups as a consequence of R. Knorr’s work on the k(GV) problem. Also, a related result is obtained: k(G/F(G)) is bounded by the index of a nilpotent injector ofG.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-12-01 | Israel Journal of Mathematics |