Sharply $2$-transitive groups with point stabilizer of exponent $3$ or $6$
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- by Peter Mayr PDF
- Proc. Amer. Math. Soc. 134 (2006), 9-13 Request permission
Abstract:
Using the fact that all groups of exponent $3$ are nilpotent, we show that every sharply $2$-transitive permutation group whose point stabilizer has exponent $3$ or $6$ is finite.References
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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
- Received by editor(s): July 21, 2004
- Published electronically: 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
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 9-13
- MSC (2000): Primary 20B20; Secondary 20B22
- DOI: https://doi.org/10.1090/S0002-9939-05-08272-9
- MathSciNet review: 2170537