Effective bounds for the maximal order of an element in the symmetric group
Effective bounds for the maximal order of an element in the symmetric group
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="sigma Subscript n"> <mml:semantics> <mml:msub> <mml:mi>σ<!-- σ --></mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:annotation encoding="application/x-tex">\sigma _n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be the symmetric group of <italic>n</italic> elements and <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="g left-parenthesis n right-parenthesis equals max Underscript sigma element-of sigma Subscript n Baseline Endscripts left-parenthesis order …