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JSYML
2010
120views more  JSYML 2010»
13 years 16 days ago
Universally measurable subgroups of countable index
We prove that any countable index, universally measurable subgroup of a Polish group is open. By consequence, any universally measurable homomorphism from a Polish group into the i...
Christian Rosendal
IJAC
2007
116views more  IJAC 2007»
13 years 5 months ago
On the Complexity of the Whitehead Minimization Problem
The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank...
Abdó Roig, Enric Ventura, Pascal Weil
CORR
2002
Springer
115views Education» more  CORR 2002»
13 years 5 months ago
Average-case complexity and decision problems in group theory
Abstract. We investigate the average-case complexity of decision problems for finitely generated groups, in particular the word and membership problems. Using our recent results on...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 5 months ago
A new exponential separation between quantum and classical one-way communication complexity
We present a new example of a partial boolean function whose one-way quantum communication complexity is exponentially lower than its one-way classical communication complexity. T...
Ashley Montanaro
BSL
2008
100views more  BSL 2008»
13 years 5 months ago
Hyperlinear and Sofic Groups: A Brief Guide
This is an introductory survey of the emerging theory of two new classes of (discrete, countable) groups, called hyperlinear and sofic groups. They can be characterized as subgroup...
Vladimir Pestov