A NOTE ON PERMUTATION GROUPS AND THEIR REGULAR SUBGROUPS
نویسندگان
چکیده
منابع مشابه
Permutation groups and normal subgroups
Various descending chains of subgroups of a finite permutation group can be used to define a sequence of 'basic' permutation groups that are analogues of composition factors for abstract finite groups. Primitive groups have been the traditional choice for this purpose, but some combinatorial applications require different kinds of basic groups, such as quasiprimitive groups, that are defined by...
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If a group G has a maximal subgroup H, tl-.en G acts by right multiplication on the set fi of right cosets of H in G as a primitive, but not necessarily faithful, permutation group. As part of the search for new finite simple groups it is of interest to determine all possible groups G, and in particular all simple groups, which contain a given group H as a maximal subgroup. This problem is very...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2008
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788708000967