Order of products of elements in finite groups

Antonio Beltrán, Richard Lyons, Alexander Moretó, Gabriel Navarro, Azahara Sáez, Pham Huu Tiep

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
JournalJournal of the London Mathematical Society
DOIs
StateAccepted/In press - Jan 1 2018
Externally publishedYes

Fingerprint

Finite P-group
Normal subgroup
Finite Group
Knowledge

Keywords

  • 20C15 (primary)
  • 20C20

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Order of products of elements in finite groups. / Beltrán, Antonio; Lyons, Richard; Moretó, Alexander; Navarro, Gabriel; Sáez, Azahara; Tiep, Pham Huu.

In: Journal of the London Mathematical Society, 01.01.2018.

Research output: Contribution to journalArticle

Beltrán, Antonio ; Lyons, Richard ; Moretó, Alexander ; Navarro, Gabriel ; Sáez, Azahara ; Tiep, Pham Huu. / Order of products of elements in finite groups. In: Journal of the London Mathematical Society. 2018.
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