The Sym(3) Conjecture and Alt(8)

2019/07/18 by Cecil Andrew Ellard, Ellard, Cecil Andrew
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1907.07828

openalex publication_date 2019/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an alternate computer-free proof of a result of Z. Arad, M. Muzychuk, and A. Oliver: if G is a minimal counterexample to the Sym(3) conjecture, then Soc(G)' cannot be isomorphic to Alt(8).

Citations

• Rational Groups and a Characterization of a Class of Permutation Groups

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