On Thompson's conjecture for alternating group of large degree

2016/07/13 by Ilya Gorshkov, Gorshkov, Ilya · 1 citation
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.1607.03727

openalex publication_date 2016/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a finite group G, let N(G) denote the set of conjugacy class sizes of G. We show that if every finite group G with trivial center such that N(G) equals to N(Alt_n), where n>1361 and at least one of numbers n or n-1 are decomposed into a sum of two primes, then G≃ Alt_n.

Cited by

• Thompson's conjecture for alternating group

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