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On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>ℤ</mml:mi> <mml:mi>p</mml:mi> </mml:msub></mml:math>-Extensions Over Imaginary Quadratic Fields
For an odd prime number p, we study the number of generators of the unramified Iwasawa modules of the maximal multiple ℤ p -extensions over the Iwasawa algebra. In our previous paper, under several assumptions for an imaginary quadratic field, we obtained a necessary and sufficient condition for the cyclicity …