@article{b453a3e3bca446e5afc62347310a2246,
title = "Order of products of elements in finite groups",
abstract = "If G is a finite group, p is a prime, and x ∈ G, it is an interesting problem to place x in a convenient small (normal) subgroup of G, assuming some knowledge of the order of the products xy, for certain p-elements y of G.",
author = "Antonio Beltr{\'a}n and Richard Lyons and Alexander Moret{\'o} and Gabriel Navarro and Azahara S{\'a}ez and Tiep, \{Pham Huu\}",
note = "Funding Information: Received 15 December 2017; revised 20 June 2018; published online 29 October 2018. 2010 Mathematics Subject Classification 20C20, 20C15 (primary). The third, fourth, and fifth authors are partially supported by the Spanish Ministerio de Educaci{\'o}n y Ciencia Proyecto MTM2016-76196-P, and Feder funds. The first, third, and fourth authors are partially supported by Prometeo II/Generalitat Valenciana. The fifth author is also supported by BES-2014-068325. The sixth author gratefully acknowledges the support of the NSF (grant DMS-1840702). Part of this work was done while the fifth author visited the Institut Universitari de Matem{\`a}tiques i Aplicacions de Castell{\'o} (IMAC). She thanks Antonio Beltr{\'a}n and the Institute for their warm hospitality. Publisher Copyright: {\textcopyright} 2018 London Mathematical Society",
year = "2019",
month = apr,
doi = "10.1112/jlms.12185",
language = "English (US)",
volume = "99",
pages = "535--552",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "John Wiley and Sons Ltd",
number = "2",
}