Search results for "Divisor function"

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On the number of different prime divisors of element orders

2005

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.

Practical numberFinite groupDivisorMathematics::Number TheoryApplied MathematicsGeneral MathematicsPrime numberDivisor functionPrime (order theory)CombinatoricsMathematics::Algebraic GeometryOrder (group theory)Prime powerMathematicsProceedings of the American Mathematical Society
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