منابع مشابه
The Lower Algebraic K-theory of Fuchsian Groups
Let Γ be a cocompact Fuchsian group. We calculate the lower algebraic K-theory of the integral group ring ZΓ and find an explicit formula for Ki(ZΓ), i ≤ 1, in terms of the lower K-groups of finite cyclic groups.
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For P ⊂ H3 a finite volume geodesic polyhedron, with the property that all interior angles between incident faces are of the form π/mij (mij ≥ 2 an integer), there is a naturally associated Coxeter group ΓP . Furthermore, this Coxeter group is a lattice inside the semi-simple Lie group O+(3, 1) = Isom(H3), with fundamental domain the original polyhedron P . In this paper, we provide a procedure...
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This announcement computes the Wall surgery obstruction groups of amalgamated free products of finitely presented groups by using the new UNil functors introduced below. Special cases of these results [C4] were obtained as consequences of the splitting theorems of [C3]. The present results use the general results on manifold decomposition outlined in [C7]. Further applications to the study of m...
متن کاملNilpotent Groups
The articles [2], [3], [4], [6], [7], [5], [8], [9], [10], and [1] provide the notation and terminology for this paper. For simplicity, we use the following convention: x is a set, G is a group, A, B, H, H1, H2 are subgroups of G, a, b, c are elements of G, F is a finite sequence of elements of the carrier of G, and i, j are elements of N. One can prove the following propositions: (1) ab = a · ...
متن کاملOn the Equivariant K-theory of the Nilpotent Cone
In this note we construct a “Kazhdan-Lusztig type” basis in equivariant K-theory of the nilpotent cone of a simple algebraic group G. This basis conjecturally is very close to the basis of this K-group consisting of irreducible bundles on nilpotent orbits. As a consequence we get a natural (conjectural) construction of Lusztig’s bijection between dominant weights and pairs {nilpotent orbit O, i...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1980
ISSN: 0021-8693
DOI: 10.1016/0021-8693(80)90115-5