Product action

Discrete Mathematics

Volumn 308, Issue 2-3, 2008, Pages 386-394

  Cameron, Peter J ^a   Gewurz, Daniele A ^b   Merola, Francesca ^b  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b ROMA TRE UNIVERSITY   (Italy)

Author keywords

Cycle index; Direct product; Orbit counting; Product action; Wreath product

Indexed keywords

COMPUTATION THEORY; FINITE ELEMENT METHOD; INDEXING (OF INFORMATION); PRODUCT DESIGN;

CYCLE INDEX; PERMUTATION GROUPS; PRODUCT ACTION; WREATH PRODUCT;

STATISTICAL METHODS;

EID: 36248966591     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2006.11.054     Document Type: Article

References (12)

1. Bailey R.A., Praeger C.E., Rowley C.A., and Speed T.P. Generalized wreath products of permutation groups. Proc. London Math. Soc. 47 3 (1983) 69-82
2. Bernstein M., and Sloane N.J.A. Some canonical sequences of integers. Linear Algebra Appl. 226 228 (1995) 57-72
3. Brualdi R.A. Matrices of zeros and one with fixed row and column sum vectors. Linear Algebra Appl. 33 (1980) 159-231
4. P.J. Cameron, Oligomorphic Permutation Groups, London Mathematical Society Lecture Notes, vol. 152, Cambridge University Press, Cambridge, 1990.
5. Cameron P.J. Combinatorics: Topics, Techniques, Algorithms (1994), Cambridge University Press, Cambridge
6. P.J. Cameron, T. Prellberg, D.S. Stark, Asymptotic enumeration of incidence matrices, J. Phys. (Conference series) 42 (2006) 59-70, doi: 10.1088/1742-6596/42/1/007.
7. Canfield E.R. Meet and join within the lattice of set partitions. Electron. J. Combin. 8 (2001) #R15
8. The GAP Group, GAP-Groups, Algorithms, and Programming, Version 4.2; Aachen, St Andrews, 1999. 〈http://www.gap-system.org/~gap/〉.
9. Pittel B. Where the typical set partitions meet and join. Electron. J. Combin. 7 (2000) #R5
10. Praeger C.E., Rowley C.A., and Speed T.P. A note on generalised wreath products. J. Austral. Math. Soc. Ser. A 39 (1985) 415-420
11. N.J.A. Sloane, The On-Line Encyclopedia of Integer Sequences. 〈http://www.research.att.com/~njas/sequences/〉.
12. H.S. Wilf, Generatingfunctionology, Academic Press, New York, 1990, 1994; also 〈http://www.math.upenn.edu/~wilf/DownldGF.html〉.