On the residual nilpotence of some varietal products
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چکیده
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It is known that the pure braid groups are residually torsion-free nilpotent. This property is however widely open for the most obvious generalizations of these groups, like pure Artin groups and like fundamental groups of hyperplane complements (even reflection ones). In this paper we relate this problem to the faithfulness of linear representations, and prove the residual torsion-free nilpote...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1963
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1963-0155888-0