scholarly journals Algebraic numbers, free group automorphisms and substitutions on the plane

2011 ◽  
Vol 363 (9) ◽  
pp. 4651-4699 ◽  
Author(s):  
Pierre Arnoux ◽  
Maki Furukado ◽  
Edmund Harriss ◽  
Shunji Ito
Keyword(s):  
Free Group ◽  
Algebraic Numbers ◽  
Group Automorphisms ◽  
Free Group Automorphisms

scholarly journals Surjunctivity and topological rigidity of algebraic dynamical systems

2017 ◽  
Vol 39 (3) ◽  
pp. 604-619 ◽  
Author(s):  
SIDDHARTHA BHATTACHARYA ◽  
TULLIO CECCHERINI-SILBERSTEIN ◽  
MICHEL COORNAERT
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Sufficient Conditions ◽  
Countable Group ◽  
Continuous Group ◽  
Continuous Map ◽  
Algebraic Dynamical Systems ◽  
Metrizable Group ◽  
Group Automorphisms

Let$X$be a compact metrizable group and let$\unicode[STIX]{x1D6E4}$be a countable group acting on$X$by continuous group automorphisms. We give sufficient conditions under which the dynamical system$(X,\unicode[STIX]{x1D6E4})$is surjunctive, i.e. every injective continuous map$\unicode[STIX]{x1D70F}:X\rightarrow X$commuting with the action of$\unicode[STIX]{x1D6E4}$is surjective.

scholarly journals Application of quantum algorithms to the study of permutations and group automorphisms

2007 ◽  
Vol 76 (1) ◽  
Author(s):  
Marianna Bonanome ◽  
Mark Hillery ◽  
Vladimír Bužek
Keyword(s):  
Quantum Algorithms ◽  
Group Automorphisms

scholarly journals Group automorphisms inducing the identity map on cohomology

1987 ◽  
Vol 44 (1-3) ◽  
pp. 241-250 ◽  
Author(s):  
Stefan Jackowski ◽  
Zbigniew Marciniak
Keyword(s):  
Group Automorphisms

On a conjecture of Zimmerman about group automorphisms

2003 ◽  
Vol 80 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Peter V. Hegarty
Keyword(s):  
Group Automorphisms
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