Sharply 2-transitive groups with point stabilizer of exponent 3 or 6

Peter Mayr

doi:10.1090/s0002-9939-05-08272-9

Sharply 2-transitive groups with point stabilizer of exponent 3 or 6

Peter Mayr

Institute for Algebra

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	9-13
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	1
DOIs	https://doi.org/10.1090/s0002-9939-05-08272-9
Publication status	Published - 2006

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

Access to Document

10.1090/s0002-9939-05-08272-9

Planar Near-rings: Theory and Application
Boykett, T. (Researcher), Ecker, J. (Researcher), Mayr, P. (Researcher), Wendt, G. (Researcher) & Pilz, G. (PI)
Austrian Science Fund
01.05.2002 → 31.05.2006
Project: Funded research › FWF - Austrian Science Fund

Cite this

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Sharply 2-transitive groups with point stabilizer of exponent 3 or 6

Abstract

Fields of science

Access to Document

Projects

Planar Near-rings: Theory and Application

Cite this