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Degree of symmetry of a homotopy real projective space

Degree of symmetry of a homotopy real projective space

The degree of symmetry <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper N left-parenthesis upper M right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>M</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">N(M)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of a compact connected differentiable manifold <italic>M</italic> is the maximum of the dimensions of the compact Lie groups which can act differentiably …