Abstract

Let [Formula: see text] be a faithful [Formula: see text]-module for a finite group [Formula: see text] and let[Formula: see text] be a prime dividing [Formula: see text]. An orbit [Formula: see text] for the action of [Formula: see text] on[Formula: see text] is regular if [Formula: see text], and is [Formula: see text]-regular if [Formula: see text]. In this note, we study two questions, one by the authors and one by Isaacs, related to the [Formula: see text]-regular orbits and regular orbits of the linear group actions.

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