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1Department of Mathematics, University of Brasilia, 0910-900 Brasilia-DF, Brazil
2Matematika Saila, Euskal Herriko Unibertsitatea, 48080 Bilbao, Spain
3Department of Mathematics, University of Brasilia, 0910-900 Brasilia-DF, Brazil
Citation Information: Journal of Group Theory. Volume 15, Issue 3, Pages 397–405, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgt.2011.113, May 2012
Let be a finite group of order
, where
is a prime and
is not divisible by
, and let
be a Sylow
-subgroup of
.
If
is an outer commutator word, we prove that
is
generated by the intersection of
with the set of
th powers
of all values of
in
.
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