Transitive Permutation Groups of Prime Degree, III: Character-Theoretic Observations
نویسندگان
چکیده
منابع مشابه
Transitive Permutation Groups of Prime-Squared Degree
We explicitly determine all of the transitive groups of degree p2, p a prime, whose Sylow p-subgroup is not isomorphic to the wreath product Z p Z p . Furthermore, we provide a general description of the transitive groups of degree p2 whose Sylow p-subgroup is isomorphic to Z p Z p , and explicitly determine most of them. As applications, we solve the Cayley Isomorphism problem for Cayley objec...
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In this note, we consider transitive permutation groups of degree 2p, where p is an odd prime, that admit blocks of imprimitivity of size 2 but no blocks of imprimitivity of size p. Primitive permutation groups of degree twice a prime were first considered by Wielandt [6], while more recently, imprimitive permutation groups of degree twice a prime were studied by Lefèvre [2], Marušič [3], and M...
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1. Introduction. Let p be a prime number such that q — l{p — l) is also a prime. Let Q, be the set of symbols 1, • • • , p, and ® be a non-solvable transitive permutation group on 12. Such permutation groups were first considered by Galois in 1832 [I, §327; III, §262]: if the linear fractional group LF 2 (l) over the field of I elements, where I is a prime number not smaller than five, contains...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 1975
ISSN: 0024-6115
DOI: 10.1112/plms/s3-31.4.482