A counterexample for the conjecture of finite simple groups

2018/10/09 by Shi, Wujie
#20D05 20D60 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1810.03786

Abstract

In this note we provide some counterexamples for the conjectures of finite simple groups, one of the conjectures said "all finite simple groups G can be determined using their orders |G| and the number of elements of order p, where p the largest prime divisor of |G|".

Related

• On some conjectures related to finite nonabelian simple groups
• The Quantitative Characterization of Finite Simple Groups
• Finite simple groups have many classes of prime order elements
• Finite Permutation Groups and Finite Simple Groups
• Orders of simple groups and the Bateman--Horn Conjecture