On Central Series
1962 ◽
Vol 13
(2)
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pp. 175-178
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Keyword(s):
Letandbe, respectively, the upper and lower central series of a group G. Our purpose in this note is to extend known results and find some information as to which of the factors Zk/Zk−1 and Γk/Γk+1 may be infinite. Though our conclusions about the lower central series will be quite general we assume in the other case that the group is f.n., i.e. an extension of a finite group by a nilpotent group. The essential facts about f.n. groups are to be found in P. Hall's paper (4). We also refer to (4) for general notation; we reserve the letter k for positive integers.
1979 ◽
Vol 85
(2)
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pp. 261-270
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2016 ◽
Vol 94
(2)
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pp. 273-277
Keyword(s):
1979 ◽
Vol 85
(2)
◽
pp. 247-252
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Keyword(s):
1965 ◽
Vol 17
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pp. 405-410
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Keyword(s):
1966 ◽
Vol 6
(3)
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pp. 362-368
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Keyword(s):
1988 ◽
Vol 103
(3)
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pp. 427-449
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Keyword(s):
Keyword(s):
1978 ◽
Vol 19
(2)
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pp. 153-154
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Keyword(s):