Authors
Citation
P. Shumyatsky, On centralizers in locally finite groups, J ALGEBRA, 243(2), 2001, pp. 551-556
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693
→ ACNP
Volume
243
Issue
2
Year of publication
2001
Pages
551 - 556
Database
ISI
SICI code
0021-8693(20010915)243:2<551:OCILFG>2.0.ZU;2-7
Abstract
The main result of the paper is the following theorem. Let G be a locally f
inite group containing a finite p-subgroup A such that CG(A) is finite and
a non-cyclic subgroup B of order p(2) such that C-G(b) has finite exponent
for all b is an element of B-#. Then G is almost locally solvable and has f
inite exponent. (C) 2001 Academic Press.