Imperial College London
Professor Martin Liebeck

ProfessorMartinLiebeck

Faculty of Natural Sciences, Department of Mathematics

Head of Pure Mathematics Section/Prof of Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8490m.liebeck Website

 
 
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Location

 

665Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Liebeck:2019:proc/13243,
author = {Liebeck, MW and Praeger, CE and Saxl, J},
doi = {proc/13243},
journal = {Proceedings of the American Mathematical Society},
pages = {5023--5037},
title = {The classification of 3/2-transitive permutation groups and 1/2-transitive linear groups},
url = {http://dx.doi.org/10.1090/proc/13243},
volume = {147},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - A linear group G ≤ GL(V ), where V is a finite vector space, is called 12-transitive if all the G-orbits on the set of nonzero vectors have the same size. We complete the classification of all the 12-transitive linear groups. As a consequence we complete the determination of the finite 32-transitive permutation groups – the transitive groups for which a point-stabilizerhas all its nontrivial orbits of the same size. We also determine the (k +12)-transitive groups for integers k ≥ 2.
AU  - Liebeck,MW
AU  - Praeger,CE
AU  - Saxl,J
DO  - proc/13243
EP  - 5037
PY  - 2019///
SN  - 1088-6826
SP  - 5023
TI  - The classification of 3/2-transitive permutation groups and 1/2-transitive linear groups
T2  - Proceedings of the American Mathematical Society
UR  - http://dx.doi.org/10.1090/proc/13243
UR  - http://hdl.handle.net/10044/1/31247
VL  - 147
ER  -
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