Results 31 to 40 of about 14,423,502 (287)
Distortion and the automorphism group of a shift [PDF]
, 2016 The set of automorphisms of a one-dimensional \shift $(X, \sigma)$ forms a countable, but often very complicated, group. For zero entropy shifts, it has recently been shown that the automorphism group is more tame.
Van Cyr, J. Franks, Bryna Kra, S. Petite
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FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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A projective variety with discrete, non-finitely generated automorphism group [PDF]
, 2016 We construct a projective variety with discrete, non-finitely generated automorphism group. As an application, we show that there exists a complex projective variety with infinitely many non-isomorphic real forms.
John Lesieutre
semanticscholar +1 more source
ON THE GROWTH OF GROUPS AND AUTOMORPHISMS [PDF]
International Journal of Algebra and Computation, 2005 We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ nd+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions.
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Frobenius groups as groups of automorphisms [PDF]
Proceedings of the American Mathematical Society, 2010 We show that if G F H GFH
Makarenko, N. Yu., Shumyatsky, Pavel
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Normal amenable subgroups of the automorphism group of the full shift [PDF]
Ergodic Theory and Dynamical Systems, 2015 We show that every normal amenable subgroup of the automorphism group of the full shift is contained in its center. This follows from the analysis of this group’s Furstenberg topological boundary, through the construction of a minimal and strongly ...
Joshua Frisch, T. Schlank, O. Tamuz
semanticscholar +1 more source
On the automorphism group of a binary q-analog of the Fano plane [PDF]
European journal of combinatorics (Print), 2015 The smallest set of admissible parameters of a q -analog of a Steiner system is S 2 2 , 3 , 7 . The existence of such a Steiner system-known as a binary q -analog of the Fano plane-is still open.
Michael Braun +2 more
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FINITE $p$-GROUPS WITH SMALL AUTOMORPHISM GROUP
Forum of Mathematics, Sigma, 2015 For each prime $p$ we construct a family $\{G_{i}\}$ of finite $p$-groups such that $|\text{Aut}(G_{i})|/|G_{i}|$ tends to zero as $i$ tends to infinity.
JON GONZÁLEZ-SÁNCHEZ +1 more
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The automorphism group of a minimal shift of stretched exponential growth [PDF]
, 2015 The group of automorphisms of a symbolic dynamical system is countable, but often very large. For example, for a mixing subshift of finite type, the automorphism group contains isomorphic copies of the free group on two generators and the direct sum of ...
Van Cyr, Bryna Kra
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Characterizing domains by the limit set of their automorphism group [PDF]
, 2015 In this paper we study the automorphism group of smoothly bounded convex domains. We show that such a domain is biholomorphic to a "polynomial ellipsoid" (that is, a domain defined by a weighted homogeneous balanced polynomial) if and only if the limit ...
Andrew M. Zimmer
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