2024-11-22 19:06:06 +01:00
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\begin{thebibliography}{10}
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\bibitem{Bleher_Camacho_Holomorphic_differentials}
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F.~M. Bleher and N.~Camacho.
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\newblock Holomorphic differentials of {K}lein four covers.
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\newblock {\em J. Pure Appl. Algebra}, 227(10):Paper No. 107384, 27, 2023.
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2024-10-22 11:01:41 +02:00
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\bibitem{Bleher_Chinburg_Kontogeorgis_Galois_structure}
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F.~M. Bleher, T.~Chinburg, and A.~Kontogeorgis.
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\newblock Galois structure of the holomorphic differentials of curves.
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\newblock {\em J. Number Theory}, 216:1--68, 2020.
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2024-11-22 19:06:06 +01:00
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\bibitem{Borevic_Faddeev}
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Z.~I. {Borevi\v{c}} and D.~K. Faddeev.
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\newblock Theory of homology in groups. {II}. {P}rojective resolutions of
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finite groups.
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\newblock {\em Vestnik Leningrad. Univ.}, 14(7):72--87, 1959.
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2024-11-25 13:07:20 +01:00
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\bibitem{Chevalley_Weil_Uber_verhalten}
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C.~Chevalley, A.~Weil, and E.~Hecke.
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\newblock \"{U}ber das verhalten der integrale 1. gattung bei automorphismen
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des funktionenk\"{o}rpers.
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\newblock {\em Abh. Math. Sem. Univ. Hamburg}, 10(1):358--361, 1934.
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2024-11-22 18:36:38 +01:00
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\bibitem{Curtis_Reiner_Methods_II}
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C.~W. Curtis and I.~Reiner.
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\newblock {\em Methods of representation theory. {V}ol. {II}}.
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\newblock Pure and Applied Mathematics (New York). John Wiley \& Sons, Inc.,
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New York, 1987.
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\newblock With applications to finite groups and orders, A Wiley-Interscience
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Publication.
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2024-11-22 19:06:06 +01:00
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\bibitem{Dummigan_99}
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N.~Dummigan.
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\newblock Complete {$p$}-descent for {J}acobians of {H}ermitian curves.
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\newblock {\em Compositio Math.}, 119(2):111--132, 1999.
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2024-11-14 20:00:07 +01:00
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\bibitem{Garnek_equivariant}
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J.~Garnek.
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\newblock Equivariant splitting of the {H}odge-de {R}ham exact sequence.
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\newblock {\em Math. Z.}, 300(2):1917--1938, 2022.
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2024-11-22 19:06:06 +01:00
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\bibitem{Garnek_p_gp_covers}
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J.~Garnek.
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\newblock {$p$}-group {G}alois covers of curves in characteristic {$p$}.
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\newblock {\em Trans. Amer. Math. Soc.}, 376(8):5857--5897, 2023.
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\bibitem{Garnek_p_gp_covers_ii}
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J.~Garnek.
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\newblock $p$-group {G}alois covers of curves in characteristic $p$ {II}, 2023.
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2024-11-22 18:36:38 +01:00
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\bibitem{garnek_indecomposables}
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J.~Garnek.
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\newblock Indecomposable direct summands of cohomologies of curves, 2024.
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\newblock arXiv 2410.03319.
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2024-11-22 19:06:06 +01:00
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\bibitem{Gross_Rigid_local_systems_Gm}
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B.~H. Gross.
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\newblock Rigid local systems on {$\Bbb G_m$} with finite monodromy.
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\newblock {\em Adv. Math.}, 224(6):2531--2543, 2010.
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2024-11-22 18:36:38 +01:00
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\bibitem{Hartshorne1977}
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R.~Hartshorne.
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\newblock {\em {Algebraic geometry}}.
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\newblock Springer-Verlag, New York-Heidelberg, 1977.
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\newblock Graduate Texts in Mathematics, No. 52.
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2024-11-22 19:06:06 +01:00
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\bibitem{Heller_Reiner_Reps_in_integers_I}
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A.~Heller and I.~Reiner.
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\newblock Representations of cyclic groups in rings of integers. {I}.
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\newblock {\em Ann. of Math. (2)}, 76:73--92, 1962.
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\bibitem{Higman}
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D.~G. Higman.
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\newblock Indecomposable representations at characteristic {$p$}.
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\newblock {\em Duke Math. J.}, 21:377--381, 1954.
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\bibitem{laurent_kock_drinfeld}
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L.~Laurent and B.~K{\"{o}}ck.
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\newblock The canonical representation of the drinfeld curve.
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\newblock {\em Mathematische Nachrichten}, online first, 2024.
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\bibitem{Lusztig_Coxeter_orbits}
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G.~Lusztig.
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\newblock Coxeter orbits and eigenspaces of {F}robenius.
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\newblock {\em Invent. Math.}, 38(2):101--159, 1976/77.
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\bibitem{WardMarques_HoloDiffs}
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S.~Marques and K.~Ward.
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\newblock Holomorphic differentials of certain solvable covers of the
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projective line over a perfect field.
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\newblock {\em Math. Nachr.}, 291(13):2057--2083, 2018.
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\bibitem{Prest}
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M.~Prest.
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\newblock Wild representation type and undecidability.
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\newblock {\em Comm. Algebra}, 19(3):919--929, 1991.
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2024-11-14 20:00:07 +01:00
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\bibitem{Serre1979}
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J.-P. Serre.
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\newblock {\em {Local fields}}, volume~67 of {\em {Graduate Texts in
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Mathematics}}.
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\newblock Springer-Verlag, New York-Berlin, 1979.
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\newblock Translated from the French by Marvin Jay Greenberg.
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2024-11-29 15:39:30 +01:00
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\bibitem{Steinberg_Representation_book}
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B.~Steinberg.
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\newblock {\em Representation theory of finite groups}.
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\newblock Universitext. Springer, New York, 2012.
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\newblock An introductory approach.
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2024-10-22 11:01:41 +02:00
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\bibitem{Valentini_Madan_Automorphisms}
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R.~C. Valentini and M.~L. Madan.
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\newblock Automorphisms and holomorphic differentials in characteristic~{$p$}.
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\newblock {\em J. Number Theory}, 13(1):106--115, 1981.
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2024-10-18 14:57:27 +02:00
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\end{thebibliography}
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