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- Title
SOME MAXIMAL SUBGROUPS OF INFINITE SYMMETRIC GROUPS.
- Authors
COVINGTON, JACINTA; MACPHERSON, DUGALD; MEKLER, ALAN
- Abstract
The article discusses the examples of maximal subgroups of symmetric groups on infinite, usually countable sets, to be stabilisers of familiar combinatorial structures. It emphasizes maximal subgroups as maximal proper subgroup. It considers permutation group as k-homogenous if it is transitive on the set of unordered k-subsets while permutation group as k-transitive if it is transitive on the set of ordered k-subsets.
- Subjects
MAXIMAL subgroups; GROUP theory; PERMUTATION groups; FRATTINI subgroups; SET theory
- Publication
Quarterly Journal of Mathematics, 1996, Vol 47, Issue 3, p297
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/47.3.297