Computing Sylow Subgroups in Permutation Groups
نویسندگان
چکیده
منابع مشابه
POS-groups with some cyclic Sylow subgroups
A finite group G is said to be a POS-group if for each x in G the cardinality of the set {y in G | o(y) = o(x)} is a divisor of the order of G. In this paper we study the structure of POS-groups with some cyclic Sylow subgroups.
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Let S be a 2-group. The rank (normal rank) of S is the maximal dimension of an elementary abelian subgroup (a normal elementary abelian subgroup) of S over Z2. The purpose of this article is to determine the rank and normal rank of S, where S is a Sylow 2-subgroup of the classical groups of odd characteristic.
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1997
ISSN: 0747-7171
DOI: 10.1006/jsco.1997.0128