ON A PERMUTABILITY PROPERTY OF SUBGROUPS OF FINITE SOLUBLE GROUPS
2010 ◽
Vol 12
(02)
◽
pp. 207-221
◽
Keyword(s):
The structure and embedding of subgroups permuting with the system normalizers of a finite soluble group are studied in the paper. It is also proved that the class of all finite soluble groups in which every subnormal subgroup permutes with the Sylow subgroups is properly contained in the class of all soluble groups whose subnormal subgroups permute with the system normalizers while this latter is properly contained in the class of all supersoluble groups.
2000 ◽
Vol 42
(1)
◽
pp. 67-74
◽
Keyword(s):
1966 ◽
Vol 62
(3)
◽
pp. 339-346
◽
Keyword(s):
1995 ◽
Vol 118
(1)
◽
pp. 49-57
◽
Keyword(s):
2016 ◽
Vol 95
(1)
◽
pp. 38-47
◽
Keyword(s):
1972 ◽
Vol 7
(1)
◽
pp. 101-104
◽
2014 ◽
Vol 91
(2)
◽
pp. 219-226
1987 ◽
Vol 102
(3)
◽
pp. 431-441
◽
Keyword(s):
1991 ◽
Vol 51
(2)
◽
pp. 331-342
Keyword(s):
2019 ◽
Vol 13
(04)
◽
pp. 2050073
◽
1976 ◽
Vol 19
(2)
◽
pp. 213-216
◽