New bounds for numbers of primes in element orders of finite groups
Chiara Bellotti,
Thomas Michael Keller,
Timothy S. Trudgian
Abstract:Let denote the maximal number of different primes that may occur in the order of a finite solvable group G, all elements of which have orders divisible by at most n distinct primes. We show that for all . As an application, we improve on a recent bound by Hung and Yang for arbitrary finite groups.
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.