Monomial Representations and Metabelian Groups
نویسندگان
چکیده
منابع مشابه
METABELIAN SL(n,C) REPRESENTATIONS OF KNOT GROUPS
We give a classification of irreducible metabelian representations from a knot group into SL(n,C) and GL(n,C). If the homology of the n–fold branched cover of the knot is finite, we show that every irreducible metabelian SL(n,C) representation is conjugate to a unitary representation and that the set of conjugacy classes of such representations is finite. In that case, we give a formula for thi...
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In 1954 A. G. Howson proved that the intersection of two finitely generated subgroups of a free group is again finitely generated. Now the free metabelian subgroups of a free metabelian group of finite rank n are quite restricted. Indeed they are again of finite rank at most n. This suggests that there may be an analog of Howson’s theorem for free metabelian groups. This turns out not to be the...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1969
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000013040