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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Some highly homogeneous groups


Author: Larry Dornhoff
Journal: Trans. Amer. Math. Soc. 182 (1973), 275-301
MSC: Primary 20D45
DOI: https://doi.org/10.1090/S0002-9947-1973-0379664-5
MathSciNet review: 0379664
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Abstract: We study finite rank 4 permutation groups which are solvable and imprimitive, with a regular normal subgroup. This means determining those groups N with a solvable automorphism group A which has only three orbits on the nonidentity elements of N.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1973-0379664-5
Keywords: Solvable permutation group, rank 4 permutation group, imprimitive permutation group, three-orbit automorphism group, Suzuki 2-group, regular normal subgroup
Article copyright: © Copyright 1973 American Mathematical Society