Squares of conjugacy classes in the infinite symmetric groups
Squares of conjugacy classes in the infinite symmetric groups
Using combinatorial methods, we will examine squares of conjugacy classes in the symmetric groups <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S Subscript nu"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>ν<!-- ν --></mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{S_\nu }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of all permutations of an infinite set of cardinality <inline-formula content-type="math/mathml"> <mml:math …