Relative pro-ℓ completions of mapping class groups
نویسندگان
چکیده
منابع مشابه
RELATIVE PRO-l COMPLETIONS OF MAPPING CLASS GROUPS
Fix a prime number l. In this paper we develop the theory of relative pro-l completion of discrete and profinite groups — a natural generalization of the classical notion of pro-l completion — and show that the pro-l completion of the Torelli group does not inject into the relative pro-l completion of the corresponding mapping class group when the genus is at least 2. (See Theorem 1 below.) As ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.02.014