Galois action on homology of generalized Fermat Curves
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Abstract The fundamental group of Fermat and generalized Fermat curves is computed. These curves are Galois ramified covers of the projective line with abelian Galois groups H. We provide a unified study of the action of both cover Galois group H and the absolute Galois group $\mathrm{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$ on the pro-$\ell$ homology of the curves in study. Also the relation to the pro-$\ell$ Burau representation is investigated.
2018 ◽
Vol 2018
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pp. 69-93
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2009 ◽
Vol 51
(2)
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pp. 289-299
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2014 ◽
Vol 10
(08)
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pp. 2045-2095
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1988 ◽
Vol 1988
(383)
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pp. 147-206
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2006 ◽
Vol 80
(1)
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pp. 89-103
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2018 ◽
Vol 20
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pp. 1750038