 First Lubin–Tate torsion fields for the p-adic numbers

ID: first-lubin-tate-torsion-fields-for-the-p-adic-numbers

Codex  0 Created 2026-09-24 Updated 2026-09-28

The two Lubin–Tate series

(1 + X)^{p} - 1

and

X^{p} + pX

for

Q_{p}

have respective nonzero

p

-torsion points

ζ_{p} - 1

and the roots of

X^{p - 1} = - p

Q_{p} (ζ_{p}) = Q_{p} (p - 1 - p) .

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