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ID 33219
FullText URL
Author
Wojtkowiak, Zdzislaw
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
Publication Title
Mathematical Journal of Okayama University
Volume
volume51
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
47
End Page
69
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
File Version
publisher
Refereed
True
Submission Path
mjou/vol51/iss1/3
JaLCDOI