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On the Orbit Sizes of Permutation Groups on the Power Set

On the Orbit Sizes of Permutation Groups on the Power Set We study the action of finite permutation groups of odd order on the power set of a set on which they act naturally, and establish a theorem that guarantees the existence of a lot of distinct orbit sizes in this action. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra Colloquium Springer Journals

On the Orbit Sizes of Permutation Groups on the Power Set

Keller, Thomas
Algebra Colloquium , Volume 7 (1) – Jan 1, 2000
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6 pages

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Publisher
Springer Journals
Copyright
Copyright © 2000 by Springer-Verlag Hong Kong
Subject
Mathematics; Algebra; Algebraic Geometry
ISSN
1005-3867
eISSN
0219-1733
DOI
10.1007/s10011-000-0027-z
Publisher site
See Article on Publisher Site

Abstract

We study the action of finite permutation groups of odd order on the power set of a set on which they act naturally, and establish a theorem that guarantees the existence of a lot of distinct orbit sizes in this action.

Journal

Algebra Colloquium – Springer Journals

Published: Jan 1, 2000

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