Abstract:In this paper we propose a refinement of Sims conjecture concerning the cardinality of the point stabilizers in finite primitive groups and we make some progress towards this refinement.In this process, when dealing with primitive groups of diagonal type, we construct a finite primitive group G on Ω and two distinct points α, β ∈ Ω with G αβ Gα and G αβ = 1, where Gα is the stabilizer of α in G and G αβ is the stabilizer of α and β in G. In particular, this example gives an answer to a question raised independ… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.