The Fitting length of a finite soluble group and the number of conjugacy classes of its maximal nilpotent subgroups
1972 ◽
Vol 6
(2)
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pp. 213-226
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It is shown that there exists a logarithmic upper bound on the Fitting length h(G) of a finite soluble group G in terms of the number ν(G) of the conjugacy classes of its maximal nilpotent subgroups. For ν(G) = 3, the best possible bound on h(G) is shown to be 4.
1969 ◽
Vol 1
(1)
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pp. 3-10
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Keyword(s):
1975 ◽
Vol 27
(4)
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pp. 837-851
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1991 ◽
Vol 51
(2)
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pp. 331-342
Keyword(s):
1979 ◽
Vol 22
(3)
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pp. 191-194
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Keyword(s):
1973 ◽
Vol 25
(4)
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pp. 862-869
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Keyword(s):
1987 ◽
Vol s2-36
(2)
◽
pp. 229-244
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1991 ◽
Vol 44
(1)
◽
pp. 19-31
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Keyword(s):
1989 ◽
Vol 40
(2)
◽
pp. 281-292
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Keyword(s):