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Stably Free Modules over the Klein Bottle

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Introduction<br />

Constructing a <strong>Stably</strong> <strong>Free</strong> Module<br />

Applications to <strong>the</strong> <strong>Klein</strong> <strong>Bottle</strong><br />

Infinitely Many <strong>Stably</strong> <strong>Free</strong> ZG-modules<br />

Let<br />

with n = 0 and<br />

Define<br />

rn = 1 + ny + ny 3<br />

sn = 1 + ny −1 + ny −3 .<br />

Kn = (rn) ∩ (x + sn) .<br />

Andrew Misseldine <strong>Stably</strong> <strong>Free</strong> <strong>Modules</strong> <strong>over</strong> <strong>the</strong> <strong>Klein</strong> <strong>Bottle</strong>

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