New bounds for numbers of primes in element orders of finite groups

Chiara Bellotti, Thomas Michael Keller and Timothy S. Trudgian

Mathematische Nachrichten, 2023, vol. 296, issue 11, 5227-5231

Abstract: Let ρ(n)$\rho (n)$ 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 ρ(n)≤5n$\rho (n)\le 5n$ for all n≥1$n\ge 1$. As an application, we improve on a recent bound by Hung and Yang for arbitrary finite groups.

Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.202200484

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:296:y:2023:i:11:p:5227-5231

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().