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Published online by Cambridge University Press: 24 October 2008
Let be any transitive permutation group on the n symbols 1, …, n. Let
be the subgroup of
whose elements leave i fixed. Let
′ be the normalizer of
, i.e., the subgroup of the symmetric group
on 1, …, n transforming
into itself. Let G′, G′1, G′2, etc., denote elements of
′. Finally, let
″ be the centralizer of
, i.e., the subgroup in
transforming every element of
into itself.
† Isomorphic means isomorph in the sense of Speiser.