Abstract
We provide an upper bound for the order of a nilpotent injector of a finite solvable group with Fitting subgroup of order n. We also show that the same bound is an upper bound for the number of conjugacy classes, provided that the k(GV)-conjecture holds for solvable G all primes dividing n.
| Original language | English |
|---|---|
| Pages (from-to) | 349-352 |
| Number of pages | 4 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 71 |
| Publication status | Published - 1 Jan 2001 |