J. Aust. Math. Soc.
74 (2003), 287-294
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On permutation groups with constant movement
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Abstract
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Let
 be a permutation group on a set
 with no fixed point in
 . If for each subset
 of
 the size
 is bounded, for
 , we define the movement of
 as the max
 over all subsets
 of
 . In particular, if all non-identity elements of
 have the same movement, then we say that
 has constant movement. In this paper we will
first give some families of groups with constant
movement. We then classify all transitive
permutation groups with a given constant movement
 on a set of maximum size.
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