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RESEARCH PRODUCT
On the number of different prime divisors of element orders
Alexander Moretósubject
Practical numberFinite groupDivisorMathematics::Number TheoryApplied MathematicsGeneral MathematicsPrime numberDivisor functionPrime (order theory)CombinatoricsMathematics::Algebraic GeometryOrder (group theory)Prime powerMathematicsdescription
We prove that the number of different prime divisors of the order of a finite group is bounded by a polynomial function of the maximum of the number of different prime divisors of the element orders. This improves a result of J. Zhang.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-07-07 | Proceedings of the American Mathematical Society |