Transitive simple subgroups of wreath products in product action
群论
2007-05-23 v2 组合数学
摘要
A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in this paper. This remarkable conclusion is reached after a definition and detailed examination of `Cartesian decompositions' of the permuted set, relating them to certain `Cartesian systemsof subgroups'. These concepts, and the bijective connections between them, are explored in greater generality, with specific future applications in mind.
引用
@article{arxiv.math/0210057,
title = {Transitive simple subgroups of wreath products in product action},
author = {Cheryl E. Praeger and Robert W. Baddeley and Csaba Schneider},
journal= {arXiv preprint arXiv:math/0210057},
year = {2007}
}
备注
Submitted