Title
Monte Carlo circuits for the Abelian Permutation group intersection problem
Abstract
We show that the problem of computing a basis for an abelian transitive permutation group is in N Ck and also we show that the problem of computing a basis for an abelian permutation group and the problem of computing the intersection of two abelian groups acting on n points, can be solved in depth (log n)k on a Monte Carlo Boolean circuit of polynomial size. Moreover the latter two problems are shown to be in N Ck in the restricted case of bounded number of generators.
Year
DOI
Venue
1986
10.1007/BF00264315
Acta Inf.
Keywords
Field
DocType
Information System,Operating System,Data Structure,Communication Network,Information Theory
Permutation graph,Discrete mathematics,Abelian group,Free abelian group,Combinatorics,Elementary abelian group,Cyclic permutation,Permutation group,Bit-reversal permutation,Rank of an abelian group,Mathematics
Journal
Volume
Issue
ISSN
23
6
0001-5903
Citations 
PageRank 
References 
1
0.43
6
Authors
1
Name
Order
Citations
PageRank
C. S. Iliopoulos1526.67