On the Orbits of Solvable Linear Groups

2007/07/19 by Zoltán Halasi, Halasi, Zoltan, Károly Podoski +1
Mathematics · #20B05 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.0707.2873

openalex publication_date 2007/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a solvable linear group acting on the finite vectorpace V and assume that (|G|,|V|)=1. In this paper we find x,y∈ V such that C_G(x)∩ C_G(y)=1. In particular, this answers a question of I. M. Isaacs. We complete some results of S. Dolphi, A. Seress and T. R. Wolf.

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