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» Quantum Complexity of Testing Group Commutativity
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STOC
2005
ACM
113views Algorithms» more  STOC 2005»
14 years 5 months ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
STACS
2010
Springer
14 years 9 days ago
An Efficient Quantum Algorithm for Some Instances of the Group Isomorphism Problem
In this paper we consider the problem of testing whether two finite groups are isomorphic. Whereas the case where both groups are abelian is well understood and can be solved effi...
François Le Gall
ANTS
2004
Springer
109views Algorithms» more  ANTS 2004»
13 years 10 months ago
On the Complexity of Computing Units in a Number Field
Given an algebraic number field K, such that [K : Q] is constant, we show that the problem of computing the units group O∗ K is in the complexity class SPP. As a consequence, w...
Vikraman Arvind, Piyush P. Kurur