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Set-Transitive Permutation Groups

Published online by Cambridge University Press:  20 November 2018

R. A. Beaumont  and
R. P. Peterson
R. A. Beaumont
Affiliation:
University of Washington
R. P. Peterson
Affiliation:
University of Washington
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The concept of an s-ply transitive (1 ≤ s ≤ n) permutation group on n symbols is of considerable importance in the classical theory of finite permutation groups, which was in the height of its development in the period around the turn of the century. The obvious generalization to a permutation group which is s set-transitive (i.e., a group which, for each pair of s-element unordered subsets S, T of the given n symbols, contains a permutation which carries S into T) seems to have received little attention.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 35 - 42
Copyright
Copyright © Canadian Mathematical Society 1955

References

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