Subnormal subgroups in direct products of groups
1987 ◽
Vol 42
(2)
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pp. 147-172
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AbstractA group G is called normally (subnormally) detectable if the only normal (subnormal) subgroups in any direct product G1 × … × Gn of copies of G are just the direct factors Gi. We give an internal characterization of finite subnormally detectable groups and obtain analogous results for associative rings and for Lie algebras. The main part of the paper deals with a study of normally detectable groups, where we verify a conjecture of T. O. Hawkes in a number of special cases.
1960 ◽
Vol 12
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pp. 447-462
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1983 ◽
Vol 28
(1)
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pp. 131-133
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2019 ◽
Vol 2
(2)
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pp. 70
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2000 ◽
Vol 10
(06)
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pp. 751-756
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2017 ◽
Vol 16
(11)
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pp. 1750205
2007 ◽
Vol 43
(4)
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pp. 1199-1257
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