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作者：Rong, XC
摘要：Let M be an n-manifold with sectional curvature 0 < delta less than or equal to K less than or equal to 1. The main result asserts that the fundamental group of M has a finite normal cyclic subgroup with index less than w(n, delta) < infinity, a constant depending on n and delta.
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作者：Pop, F
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作者：Diamond, F
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作者：Minac, J; Spira, M
摘要：The precise relationship between the Galois theory of fields and the Witt ring of quadratic forms is established.
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作者：Elliott, GA; Gong, GH
摘要：A classification is given of what may turn out to be all separable nuclear simple C*-algebras of real rank zero and stable rank one. (These terms refer to density of the invertible elements in the sets of self-adjoint elements and all elements, respectively, after adjunction of a unit.) The C*-algebras considered are those that can be expressed as the inductive limit of a sequence of finite direct sums of homogeneous C*-algebras with spectrum 3-dimensional finite CW complexes. This classificat...
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作者：Benoist, Y
摘要：Let G be a linear semisimple real Lie group and H be a reductive subgroup of G. We give a necessary and sufficient condition for the existence of a nonabelian free discrete subgroup Gamma of G acting properly on G/H. For instance, such a group Gamma does exist for SL(2n, R)SL(2n - 1, R) but does not for SL(2n + 1, R)/SL(2n, R) with n greater than or equal to 1.
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作者：Cheeger, J; Colding, TH
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作者：Liebeck, MW; Shalev, A
摘要：We study the probability that randomly chosen elements of prescribed type in a finite simple classical group G generate G; in particular, we prove a conjecture of Kantor and Lubotzky in this area. The probabilistic approach is then used to determine the finite simple classical quotients of the modular group PSL(2)(Z), up to finitely many exceptions.
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作者：Caffarelli, LA
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作者：Kowalsky, N
