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On (๐พ_{โˆ—}(๐‘/๐‘ยฒ๐‘) and related homology groups

On (๐พ_{โˆ—}(๐‘/๐‘ยฒ๐‘) and related homology groups

It is shown that, for <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p greater-than-or-slanted-equals 5"> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>โฉพ<!-- โฉพ --></mml:mo> <mml:mn>5</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">p \geqslant 5</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R equals bold upper Z slash p squared bold upper Z comma upper K 3 left-parenthesis upper โ€ฆ