most citedp-Tower Groups over Quadratic Imaginary Number Fields

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math.NT2010★ 4 cited

p-Tower Groups over Quadratic Imaginary Number Fields

Cam McLeman

The modern theory of class field towers has its origins in the study of the p-class field tower over a quadratic imaginary number field, so it is fitting that this problem be the f…

math.NT2010

A Golod-Shafarevich Equality and p-Tower Groups

Cam McLeman

All current techniques for showing that a number field has an infinite p-class field tower depend on one of various forms of the Golod-Shafarevich inequality. Such techniques can a…