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- W1997799993 abstract "In the investigation of factorised groups one often encounters groups G = AB = AK = BK which have a triple factorisation as a product of two subgroups A and B and a normal subgroup K of G . It is of particular interest to know whether G satisfies some nilpotency requirement whenever the three subgroups A, B and K satisfy this same nilpotency requirement. A positive answer to this problem for the classes of nilpotent, hypercentral and locally nilpotent groups is given under the hypothesis that K is a minimax group or G has finite abelian section rank. The results become false if K has only finite Prüfer rank. Some applications of the main theorems are pointed out." @default.
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- W1997799993 date "1988-02-01" @default.
- W1997799993 modified "2023-09-30" @default.
- W1997799993 title "Groups with a nilpotent triple factorisation" @default.
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- W1997799993 doi "https://doi.org/10.1017/s0004972700004159" @default.
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