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A note on the $bP$-component of $(4n-1)$-dimensional homotopy spheres

A note on the $bP$-component of $(4n-1)$-dimensional homotopy spheres

The <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="b upper P"> <mml:semantics> <mml:mrow> <mml:mi>b</mml:mi> <mml:mi>P</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">bP</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-component of a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis 4 n minus 1 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mn>4</mml:mn> <mml:mi>n</mml:mi> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">\left ( {4n - 1} …