On solvable minimally transitive permutation groups

2007/02/07 by Francesca Dalla Volta, Volta, Francesca Dalla, Johannes Siemons +1
Mathematics · #20B05 #20F16 #Advanced Algebra and Geometry #Advanced Harmonic Analysis Research #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR #msc:20B05 #msc:20F16

paper · pdf · doi:10.48550/arxiv.math/0702194

8 pages, no figures, journal paper

arxiv created 2007/02/07 · openalex publication_date 2007/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate properties of finite transitive permutation groups (G, Ω) in which all proper subgroups of G act intransitively on Ω. In particular, we are interested in reduction theorems for minimally transitive representations of solvable groups.

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