Locally Finite Products of Totally Permutable Nilpotent Groups
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A group G=AB is said to be totally factorized by its subgroups A and B if XY=YX for all subgroups X of A and Y of B. It is known that any finite group totally factorized by supersoluble subgroups is supersoluble, and that a finite group totally factorized by nilpotent subgroups is abelian-by-nilpotent. This latter result is extended here to certain classes of infinite groups.
1956 ◽
Vol 52
(1)
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pp. 5-11
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2005 ◽
Vol 78
(3)
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pp. 429-439
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1983 ◽
Vol 26
(3)
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pp. 297-306
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2017 ◽
Vol 16
(02)
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pp. 1750025
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1979 ◽
Vol 28
(1)
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pp. 9-14
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