ID | 33219 |
FullText URL | |
Author |
Wojtkowiak, Zdzislaw
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Abstract | We are studying Galois representations on fundamental groups and on torsors of paths of a projective line minus a finite number of points. We reprove by explicit calculations some known results about ramification properties of such representations. We calculate the number of generators in degree 1 of the images of these Galois representations. We show also that the number of linearly independent generators in degree greater than 1 is equal &franc12 φ(n) for the action of GQ(μ5) on the fundamental group of P1¯Q \ ({0,∞} ∪ μn). Finally we show that the graded Lie algebra associated with the action of GQ(μ5) on the fundamental group of P1¯Q \ ({0,∞} ∪ μ5) is not free. |
Published Date | 2009-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume51
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 47
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End Page | 69
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol51/iss1/3
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JaLCDOI |