In this section
@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}
}
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 -