Bulletin Des Sciences Mathematiques | 2021
Orbit sizes and odd order composition factors of finite linear groups
Abstract
Abstract In this paper, we study the existence of large orbits of odd-order subgroups of a finite solvable linear group G, and present some applications on bounding the odd-order parts of the chief series of an arbitrary linear group G. We also find applications to Gluck s conjecture as well as a related question of Navarro.