Subgroups like Wielandt's in soluble
groups
2000 ◽
Vol 42
(1)
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pp. 67-74
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Keyword(s):
For each m≥1, u_{m}(G) is defined to be the intersection of the normalizers of all the subnormal subgroups of defect at most m in G. An ascending chain of subgroups u_{m,i}(G) is defined by setting u_{m,i}(G)/u_{m,i−1}(G)=u_{m}(G/u_{m,i−1}(G)). If u_{m,n}(G)=G, for some integer n, the m-Wielandt length of G is the minimal of such n.In [3], Bryce examined the structure of a finite soluble group with given m-Wielandt length, in terms of its polynilpotent structure. In this paper we extend his results to infinite soluble groups.1991 Mathematics Subject Classification. 20E15, 20F22.
2010 ◽
Vol 12
(02)
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pp. 207-221
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Keyword(s):
1972 ◽
Vol 7
(1)
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pp. 101-104
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2014 ◽
Vol 91
(2)
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pp. 219-226
1987 ◽
Vol 102
(3)
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pp. 431-441
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Keyword(s):
1976 ◽
Vol 19
(2)
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pp. 213-216
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1979 ◽
Vol 22
(3)
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pp. 191-194
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Keyword(s):
1969 ◽
Vol 1
(1)
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pp. 3-10
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Keyword(s):
1966 ◽
Vol 62
(3)
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pp. 339-346
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Keyword(s):
1973 ◽
Vol 25
(4)
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pp. 862-869
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Keyword(s):
1973 ◽
Vol 16
(3)
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pp. 357-362
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