The universality of words ๐ฅ^{๐}๐ฆ^{๐ } in alternating groups
The universality of words ๐ฅ^{๐}๐ฆ^{๐ } in alternating groups
If <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="r comma s"> <mml:semantics> <mml:mrow> <mml:mi>r</mml:mi> <mml:mo>,</mml:mo> <mml:mi>s</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">r,s</mml:annotation> </mml:semantics> </mml:math> </inline-formula> are nonzero integers and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="m"> <mml:semantics> <mml:mi>m</mml:mi> <mml:annotation encoding="application/x-tex">m</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is the largest squarefree divisor of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="r s"> <mml:semantics> <mml:mrow> <mml:mi>r</mml:mi> โฆ