JOURNAL ARTICLE
A Hall-type closure property for certain Fitting classes
Year: 1995 Journal: Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics Vol: 59 (2)Pages: 204-213 Publisher: Cambridge University Press
Abstract
Abstract A closure operation connected with Hall subgroups is introduced for classes of finite soluble groups, and it is shown that this operation can be used to give a criterion for membership of certain special Fitting classes, including the so-called ‘central-socle’ classes.
Keywords:
Closure (psychology) Mathematics Property (philosophy) Type (biology) Pure mathematics Class (philosophy) Computer science Geology Law Artificial intelligence
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Topics
Finite Group Theory Research
Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics
Geometric and Algebraic Topology
Physical Sciences → Mathematics → Geometry and Topology
semigroups and automata theory
Physical Sciences → Computer Science → Computational Theory and Mathematics
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