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Maximal Sections and Primitive Permutation Groups of Twisted Wreath Type
Author(s) -
Baddeley Robert W.
Publication year - 1998
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610798005638
Subject(s) - abelian group , mathematics , socle , permutation (music) , wreath product , combinatorics , permutation group , simple (philosophy) , biology , physics , paleontology , geometry , product (mathematics) , philosophy , inversion (geology) , epistemology , structural basin , acoustics
A primitive permutation group is said to be of twisted wreath type if its socle is both non‐abelian and regular. We reduce the study of such primitive permutation groups to the study of ‘maximal non‐abelian simple sections’ of non‐abelian simple groups.