Conjugacy classes whose square is an infinite symmetric group
Conjugacy classes whose square is an infinite symmetric group
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper X Subscript nu"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>X</mml:mi> <mml:mi>ν<!-- ν --></mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{X_\nu }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be the set of all permutations <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="xi"> <mml:semantics> <mml:mi>ξ<!-- ξ --></mml:mi> <mml:annotation encoding="application/x-tex">\xi</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of an infinite set <inline-formula …