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Consider $(g_n)_{n\geq 1}$ a sequence of independent and identically distributed random matrices and the left random walk $G_n : = g_n \ldots g_1$ on the general linear group $GL(d, \mathbb R)$. Under...
This article continues a prior investigation of the authors with the goal of extending characterization results of convolutional tight frames from the context of cyclic groups to general finite abelia...
Let g be a complex, simple Lie algebra with Cartan subalgebra h and Weyl group W . We construct a one parameter family of flat connections ∇κ on h with values in any finite–dimensional g–moduleV...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
Let G be a finite group. We classify G-equivariant flow equivalence of nontrivial irreducible shifts of finite type interms of (i) elementary equivalence of matrices over ZG and (ii) the conjugacy cla...
Let G be a semisimple, simply connected, algebraic group defined over R. The set of real points G of G is not necessarily topologically simply connected, in which case G admits a non–trivial covering ...
We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us ...
We prove new cases of the inverse Galois problem by considering the residual Galois representations arising from a fixed newform. Specific choices of weight 3 newforms will show thatthere are Galois e...
Let T be a locally finite simplicial tree and let ! ⊂ Aut(T ) be a finitely generated discrete subgroup. We obtain an explicit formula for the critical exponent of the Poincare series associated...
We study enhancement of di®usive mixing on a compact Riemannian manifold by a fast incompressible °ow. Our main result is a sharp description of the class of °ows that make the deviation of the s...
设DOn是有限链[n]上的保反序奇异变换半群. 对任意的r(1≤r≤n-1), 考虑半群LD(n,r)={α∈DOn: |Im α|≤r}的秩, 证明了: LD(n,r)是由秩为r的元素生成的, 且它的秩为Crn; 当1≤l
称子群H在群G中弱S-半置换的,如果G存在的一个次正规子群B,使得G=HB且H∩B ≤ HssG,其中HssG是包含在H中的G的最大的S-半置换子群. 利用Sylow子群的极大子群的弱S-半置换性,并结合Sylow子群正规化子得到有限群成为p-幂零群的一个充分条件,推广了近来的一些结果.
Let p be a prime, P a finite p-group and F a Frobenius P-category. The question on the existence of a suitable category L^sc extending the full subcategory of F over the set of F-selfcentralizing subg...
In this paper, we compute the {\Sigma}^n(G) and {\Omega}^n(G) invariants when 1 \rightarrow H \rightarrow G \rightarrow K \rightarrow 1 is a short exact sequence of finitely generated groups with K fi...
First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, we define a descendin...

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