On supersoluble groups of Wielandt length two
نویسندگان
چکیده
منابع مشابه
Supersoluble Groups
We shall term a group G supersoluble if every homomorphic image H9*l of G contains a cyclic normal subgroup different from 1. Supersoluble groups with maximum condition, in particular finite supersoluble groups, have been investigated by various authors: Hirsch, Ore, Zappa and more recently Huppert and Wielandt. In the present note we want to establish the close connection between supersoluble ...
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Problem 6.6 in the Kourovka Notebook [9], posed by H. Wielandt, reads as follows. ' Let P, Q be permutation representations of a finite group G with the same character. Suppose P(G) is a primitive permutation group. Is Q{G) necessarily primitive? Equivalently: Let A, B be subgroups of a finite group G such that for each class C of conjugate elements of G their intersection with C has the same c...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2005
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700008594