Oliver's conjecture: Difference between revisions
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==Statement== | ==Statement== | ||
Let <math>p</math> be a prime number and <math>P</math> be a finite <math>p</math>-group. '''Oliver's conjecture''' states that the [[Oliver subgroup]] of <math>P</math> contains the [[join of elementary abelian subgroups of maximum order]] (one of the three [[Thompson subgroup]]s). | Let <math>p</math> be a prime number and <math>P</math> be a finite <math>p</math>-group. '''Oliver's conjecture''' states that the [[Oliver subgroup]] of <math>P</math> contains the [[join of elementary abelian subgroups of maximum order]] (one of the three [[Thompson subgroup]]s). | ||
Latest revision as of 04:05, 14 May 2009
This article is about a conjecture. View all conjectures and open problems
Statement
Let be a prime number and be a finite -group. Oliver's conjecture states that the Oliver subgroup of contains the join of elementary abelian subgroups of maximum order (one of the three Thompson subgroups).