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A pro-l version of the congruence subgroup problem for mapping class groups of genus one.

Authors :
Hoshi, Yuichiro
Iijima, Yu
Source :
Journal of Algebra. Feb2019, Vol. 520, p1-31. 31p.
Publication Year :
2019

Abstract

Abstract Let l be a prime number. In the present paper, we discuss a pro-l version of the congruence subgroup problem for mapping class groups of genus one. Our main result is that the pro-2 version has an affirmative answer, but the pro- l version for l ≥ 11 has a negative answer. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00218693
Volume :
520
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
133559225
Full Text :
https://doi.org/10.1016/j.jalgebra.2018.10.036