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Sharply  -transitive groups with point stabilizer of exponent  or 
Author:
Peter Mayr
Journal:
Proc. Amer. Math. Soc. 134 (2006), 9-13
MSC (2000):
Primary 20B20; Secondary 20B22
Posted:
August 15, 2005
MathSciNet review:
2170537
Full-text PDF Free Access
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Abstract: Using the fact that all groups of exponent  are nilpotent, we show that every sharply  -transitive permutation group whose point stabilizer has exponent  or  is finite.
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Additional Information
Peter Mayr
Affiliation:
Institut für Algebra, Johannes Kepler Universität Linz, 4040 Linz, Austria
Email:
peter.mayr@algebra.uni-linz.ac.at
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08272-9
PII:
S 0002-9939(05)08272-9
Keywords:
(Infinite) sharply $2$-transitive groups
Received by editor(s):
July 21, 2004
Posted:
August 15, 2005
Additional Notes:
This work was supported by grant P15691 of the Austrian National Science Foundation (FWF) and was obtained during the author's visit at UW Madison, Wisconsin.
Communicated by:
Jonathan I. Hall
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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