ON EXTENSIONS OF THE BAER-SUZUKI THEOREM

Authors
GURALNICK RM ROBINSON GR
Citation
Rm. Guralnick et Gr. Robinson, ON EXTENSIONS OF THE BAER-SUZUKI THEOREM, Israel Journal of Mathematics, 82(1-3), 1993, pp. 281-297
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
82
Issue
1-3
Year of publication
1993
Pages
281 - 297
Database
ISI
SICI code
0021-2172(1993)82:1-3<281:OEOTBT>2.0.ZU;2-P
Abstract
We find a necessary and sufficient condition for an element of prime o rder in a finite group to be in a normal p-subgroup. This generalizes the Baer-Suzuki Theorem. Our proof depends on a result about elements of prime order contained in a unique maximal subgroup containing a res ult of Wielandt. We discuss various consequences, linear and algebraic group versions of the result.