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DM
2000
89views more  DM 2000»
14 years 11 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
16 years 27 days 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»
14 years 11 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
14 years 11 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
15 years 5 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