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Order of products of elements in finite groups
Author(s) -
Beltrán Antonio,
Lyons Richard,
Moretó Alexander,
Navarro Gabriel,
Sáez Azahara,
Tiep Pham Huu
Publication year - 2019
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12185
Subject(s) - order (exchange) , finite group , prime (order theory) , group (periodic table) , mathematics , combinatorics , pure mathematics , algebra over a field , physics , business , finance , quantum mechanics
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 x y , for certain p ‐elements y of G .
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