Cover-Avoidance Properties in Finite Soluble Groups
1976 ◽
Vol 19
(2)
◽
pp. 213-216
◽
AbstractWe give a general method for constructing subgroups which either cover or avoid each chief factor of the finite soluble group G. A strongly pronorrnal subgroup V, a prefrattini subgroup W, an -normalizer D and intersections and products of V, W, and D axe all constructable. The constructable subgroups can be characterized by their cover-avoidance property and a permutability condition as in the results of J. D. Gillam [4] for prefrattini subgroups and -normalizers.
1974 ◽
Vol 17
(4)
◽
pp. 385-388
Keyword(s):
1970 ◽
Vol 11
(4)
◽
pp. 395-400
◽
Keyword(s):
1991 ◽
Vol 44
(1)
◽
pp. 19-31
◽
Keyword(s):
1974 ◽
Vol 17
(3)
◽
pp. 305-318
◽
Keyword(s):
2000 ◽
Vol 42
(1)
◽
pp. 67-74
◽
Keyword(s):
1972 ◽
Vol 7
(1)
◽
pp. 101-104
◽
1987 ◽
Vol 102
(3)
◽
pp. 431-441
◽
Keyword(s):
1979 ◽
Vol 22
(3)
◽
pp. 191-194
◽
Keyword(s):
1969 ◽
Vol 1
(1)
◽
pp. 3-10
◽
Keyword(s):
1966 ◽
Vol 62
(3)
◽
pp. 339-346
◽
Keyword(s):