The University of Arizona

Triples in Finite Group and a Conjecture of Guralnick and Tiep

Triples in Finite Group and a Conjecture of Guralnick and Tiep

Series: Algebra and Number Theory Seminar
Location: ENR2 S395
Presenter: Hyereem Lee, University of Arizona

R. M. Guralnick and P. H. Tiep conjectured that a finite group G has a composition factor of order divisible by distinct odd primes p and q if and only if G contains a nontrivial 2-element x, p-element y ,and q-element z such that xyz = 1. Using the classification of finite simple groups, this conjecture will be shown to be true. 

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