ID | 33219 |
フルテキストURL | |
著者 |
Wojtkowiak, Zdzislaw
Université des Sciences et Technologies de Lille
|
抄録 | 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. |
発行日 | 2009-01
|
出版物タイトル |
Mathematical Journal of Okayama University
|
巻 | 51巻
|
号 | 1号
|
出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
開始ページ | 47
|
終了ページ | 69
|
ISSN | 0030-1566
|
NCID | AA00723502
|
資料タイプ |
学術雑誌論文
|
言語 |
英語
|
論文のバージョン | publisher
|
査読 |
有り
|
Submission Path | mjou/vol51/iss1/3
|
JaLCDOI |