GROUPS OF INFINITE RANK IN WHICH NORMALITY IS A TRANSITIVE RELATION
2013 ◽
Vol 56
(2)
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pp. 387-393
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Keyword(s):
AbstractA group is called a T-group if all its subnormal subgroups are normal. It is proved here that if G is a periodic (generalized) soluble group in which all subnormal subgroups of infinite rank are normal, then either G is a T-group or it has finite rank. It follows that if G is an arbitrary group whose Fitting subgroup has infinite rank, then G has the property T if and only if all its subnormal subgroups of infinite rank are normal.
2016 ◽
Vol 95
(1)
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pp. 38-47
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Keyword(s):
2014 ◽
Vol 13
(04)
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pp. 1350134
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Keyword(s):
2000 ◽
Vol 42
(1)
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pp. 67-74
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Keyword(s):
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):
1974 ◽
Vol 17
(2)
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pp. 222-233
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Keyword(s):
2007 ◽
Vol 17
(05n06)
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pp. 1021-1031
Keyword(s):
2014 ◽
Vol 56
(3)
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pp. 691-703
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