Difference between revisions of "Finite solvable group"
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(New page: {{finite group property}} ==Definition== A finite group is termed a '''finite solvable group''' if it satisfies the following equivalent conditions: * It is a solvable group * I...) 
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Revision as of 23:29, 7 May 2008
This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)
View other properties of finite groups OR View all group properties
Definition
A finite group is termed a finite solvable group if it satisfies the following equivalent conditions:
 It is a solvable group
 It is a polycyclic group
 It has Sylow complements for all prime divisors of the order of the group
 It has Hall subgroups of all possible orders