Results 1 to 10 of about 13,725 (110)
Normal Subgroup Growth of Linear Groups: the (G2; F4;E8)-Theorem [PDF]
, 2011 Let G be a finitely generated group and M_n(G) the number of its normal subgroup subgroups of index at most n. For linear groups G we show that M_n(G) can grow polynomially in n only if the semisimple part of the Zariski closure of G has simple components only of type G2, F4 or E8 (and in this case indeed this can happened!)
Larsen, Michael, Lubotzky, Alexander
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Small doubling in groups [PDF]
, 2013 Let A be a subset of a group G = (G,.). We will survey the theory of sets A with the property that |A.A|
A. G. Vosper +61 more
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Representation growth and representation zeta functions of groups [PDF]
, 2012 We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
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Imbeddings into groups of intermediate growth [PDF]
, 2014 Every countable group that does not contain a finitely generated subgroup of exponential growth imbeds in a finitely generated group of subexponential growth.
Bartholdi, Laurent, Erschler, Anna
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Degree of commutativity of infinite groups [PDF]
, 2016 First published in Proceedings of the American Mathematical Society in volum 145, number 2, 2016, published by the American Mathematical SocietyWe prove that, in a finitely generated residually finite group of subexponential growth, the proportion of ...
Antolin, Yago +2 more
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3-manifold groups are virtually residually p [PDF]
, 2012 Given a prime $p$, a group is called residually $p$ if the intersection of its $p$-power index normal subgroups is trivial. A group is called virtually residually $p$ if it has a finite index subgroup which is residually $p$.
Matthias Aschenbrenner +2 more
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On the structure of random graphs with constant $r$-balls [PDF]
, 2019 We continue the study of the properties of graphs in which the ball of radius $r$ around each vertex induces a graph isomorphic to the ball of radius $r$ in some fixed vertex-transitive graph $F$, for various choices of $F$ and $r$.
Benjamini, Itai, Ellis, David
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Properties of centered random walks on locally compact groups and Lie groups
, 2007 The basic aim of this paper is to study asymptotic properties of the convolution powers K^(n) = K * K * ... * K of a possibly non-symmetric probability density K on a locally compact, compactly generated group G. If K is centered, we show that the Markov
Dungey, Nick
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Growth of quasiconvex subgroups
, 2018 We prove that non-elementary hyperbolic groups grow exponentially more quickly than their infinite index quasiconvex subgroups. The proof uses the classical tools of automatic structures and Perron-Frobenius theory.
Dahmani, François +2 more
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The domino problem on groups of polynomial growth
, 2018 We characterize the virtually nilpotent finitely generated groups (or, equivalently by Gromov's theorem, groups of polynomial growth) for which the Domino Problem is decidable: These are the virtually free groups, i.e. finite groups, and those having $\Z$
Ballier, Alexis, Stein, Maya
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