Centralizers in residually finite torsion groups
Author:
Aner Shalev
Journal:
Proc. Amer. Math. Soc. 126 (1998), 34953499
MSC (1991):
Primary 20F50, 20E36; Secondary 20F40, 17B01
MathSciNet review:
1459149
Fulltext PDF Free Access
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Abstract: Let be a residually finite torsion group. We show that, if has a finite 2subgroup whose centralizer is finite, then is locally finite. We also show that, if has no torsion, and is a finite 2group acting on in such a way that the centralizer is soluble, or of finite exponent, then is locally finite.
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Additional Information
Aner Shalev
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel
DOI:
http://dx.doi.org/10.1090/S0002993998044712
PII:
S 00029939(98)044712
Received by editor(s):
March 25, 1997
Received by editor(s) in revised form:
April 23, 1997
Additional Notes:
Supported by the BiNational Science Foundation United States – Israel, Grant No. 9200034
Dedicated:
In memory of Brian Hartley
Communicated by:
Lance W. Small
Article copyright:
© Copyright 1998 American Mathematical Society
