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IJAC
2007
94views more  IJAC 2007»
13 years 7 months ago
Automorphism Groups of Squares and of Free Algebras
We show that certain finite groups do not arise as the automorphism group of the square of a finite algebraic structure, nor as the automorphism group of a finite, 2-generated, ...
Keith A. Kearnes, Steven T. Tschantz
IJAC
2010
128views more  IJAC 2010»
13 years 6 months ago
Compressed Words and Automorphisms in Fully Residually Free Groups
We show that the compressed word problem in a finitely generated fully residually free group (F-group) is decidable in polynomial time, and use this result to show that the word ...
Jeremy MacDonald
IJAC
2006
52views more  IJAC 2006»
13 years 7 months ago
Self-similar Inverse Semigroups and Smale Spaces
Self-similar inverse semigroups are defined using automata theory. Adjacency semigroups of s-resolved Markov partitions of Smale spaces are introduced. It is proved that a Smale s...
Volodymyr Nekrashevych
IJAC
2006
67views more  IJAC 2006»
13 years 7 months ago
Conjugacy Invariants of Subshifts: an Approach from Profinite Semigroup Theory
: It is given a structural conjugacy invariant in the set of pseudowords whose finite factors are factors of a given subshift. Some profinite semigroup tools are developed for this...
Alfredo Costa
IJAC
2006
53views more  IJAC 2006»
13 years 7 months ago
Subword Complexity of Profinite Words and Subgroups of Free Profinite Semigroups
Abstract. We study free profinite subgroups of free profinite semigroups of the same rank using, as main tools, iterated implicit operators, subword complexity and the associated e...
Jorge Almeida, Mikhail V. Volkov