Abstract
Let Ω be a set. A group G that acts faithfully on Ω is a permutation group on Ω Every permutation group is isomorphic to a subgroup of S Ω, and every subgroup of S Ω is a permutation group on Ω.
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© 2004 Springer-Verlag New York, Inc.
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Kurzweil, H., Stellmacher, B. (2004). Permutation Groups. In: The Theory of Finite Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/0-387-21768-1_4
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DOI: https://doi.org/10.1007/0-387-21768-1_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2340-0
Online ISBN: 978-0-387-21768-0
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