nilpotent product
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scholarly journals Schunk classes are nilpotent product closed

1969 ◽  
Vol 1 (1) ◽  
pp. 27-28 ◽  
Author(s):  
James Wiegold
Keyword(s):  
Positive Integer ◽  
Nilpotent Product

The following result is proved. LetXbe a Schunk class andka positive integer. Then thek–th nilpotent product of any two groups inX¯ is inX¯.

A Note on Prime-Power Groups

1960 ◽  
Vol 3 (1) ◽  
pp. 27-30 ◽  
Author(s):  
Ruth Rebekka Struik
Keyword(s):  
Nilpotent Group ◽  
Prime Power ◽  
Factor Group ◽  
Unsuccessful Attempt ◽  
Cyclic Groups ◽  
Nilpotent Product ◽  
Products Of Groups

In this paper an unsuccessful attempt to classify prime - power groups is described. The attempt consisted in combining some ideas of P.Hall and O. N. Golovin.Golovin [2] defined nilpotent products of groups and showed that every nilpotent group is a factor group of a nilpotent product of cyclic groups.

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