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DLT
2010
13 years 6 months ago
Compressed Conjugacy and the Word Problem for Outer Automorphism Groups of Graph Groups
Abstract. It is shown that for graph groups (right-angled Artin groups) the conjugacy problem as well as a restricted version of the simultaneous conjugacy problem can be solved in...
Niko Haubold, Markus Lohrey, Christian Mathissen
IJAC
2010
128views more  IJAC 2010»
13 years 3 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
INFORMATICALT
2007
104views more  INFORMATICALT 2007»
13 years 4 months ago
Key Agreement Protocol (KAP) Using Conjugacy and Discrete Logarithm Problems in Group Representation Level
The key agreement protocol based on infinite non-commutative group presentation and representation levels is proposed. Two simultaneous problems in group representation level are ...
Eligijus Sakalauskas, Povilas Tvarijonas, Andrius ...
CORR
2002
Springer
115views Education» more  CORR 2002»
13 years 4 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...