Stories about groups and sequences

Peter J. Cameron

doi:10.1007/BF00130572

Stories about groups and sequences

Peter J. Cameron^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The main theme of this article is that counting orbits of an infinite permutation group on finite subsets or tuples is very closely related to combinatorial enumeration; this point of view ties together various disparate "stories". Among these are reconstruction problems, the relation between connected and arbitrary graphs, the enumeration of N-free posets, and some of the combinatorics of Stirling numbers.

Original language	English
Pages (from-to)	109-133
Number of pages	25
Journal	Designs, Codes, and Cryptography
Volume	8
Issue number	1-2
DOIs	https://doi.org/10.1007/BF00130572
Publication status	Published - 1 Jan 1996

Keywords

Enumeration
Permutation group
Sequence

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10.1007/BF00130572

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title = "Stories about groups and sequences",

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AB - The main theme of this article is that counting orbits of an infinite permutation group on finite subsets or tuples is very closely related to combinatorial enumeration; this point of view ties together various disparate "stories". Among these are reconstruction problems, the relation between connected and arbitrary graphs, the enumeration of N-free posets, and some of the combinatorics of Stirling numbers.

KW - Enumeration

KW - Permutation group

KW - Sequence

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JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 1-2

ER -

Stories about groups and sequences

Abstract

Keywords

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