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DM
2000
89views more  DM 2000»
13 years 8 months ago
Some counting problems related to permutation groups
This paper discusses investigations of sequences of natural numbers which count the orbits of an in nite permutation group on n-sets or n-tuples. It surveys known results on the g...
Peter J. Cameron
ICPR
2004
IEEE
14 years 10 months ago
Regression Analysis and Automorphic Orbits in Free Groups of Rank 2
The main goal of this paper is to show that pattern recognition techniques can be successfully used in abstract algebra. We introduce a pattern recognition system to recognize wor...
Alexei D. Miasnikov, Robert M. Haralick
JSYML
2008
66views more  JSYML 2008»
13 years 8 months ago
Special groups whose isometry relation is a finite union of cosets
0-stable 0-categorical linked quaternionic mappings are studied and are shown to correspond (in some sense) to special groups which are 0stable, 0-categorical, satisfy AP(3) and ha...
Vincent Astier
SIGPLAN
2002
13 years 8 months ago
Pattern-matching and rewriting rules for group indexed data structures
In this paper, we present a new framework for the definition of various data structures (including trees and arrays) together with a generic language of filters enabling a rule-ba...
Jean-Louis Giavitto, Olivier Michel, Julien Cohen
ICALP
2005
Springer
14 years 2 months ago
Petri Algebras
The firing rule of Petri nets relies on a residuation operation for the commutative monoid of natural numbers. We identify a class of residuated commutative monoids, called Petri ...
Eric Badouel, Jules Chenou, Goulven Guillou