On metabelian groups
1966 ◽
Vol 6
(3)
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pp. 362-368
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Keyword(s):
In this note we present some results on relationships between certain verbal subgroups of metabelian groups. To state these results explicitly we need some notation. As usual further [x, 0y] = x and [x, ky] = [x, (k—1)y, y] for all positive integers k. The s-th term γs(G) of the lower central series of a group G is the subgroup of G generated by [a1, … as] for all a1, … as, in G. A group G is metabelian if [[a11, a2], [a3, a4]] = e (the identity element) for all a1, a2, a3, a4, in G, and has exponent k if ak = e for all a in G.
1962 ◽
Vol 13
(2)
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pp. 175-178
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Keyword(s):
1979 ◽
Vol 85
(2)
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pp. 261-270
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1987 ◽
Vol 39
(2)
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pp. 322-337
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Keyword(s):
1985 ◽
Vol 28
(1)
◽
pp. 67-72
1956 ◽
Vol 52
(4)
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pp. 611-616
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Keyword(s):
1979 ◽
Vol 85
(2)
◽
pp. 247-252
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Keyword(s):
1975 ◽
Vol 19
(3)
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pp. 343-357
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1982 ◽
Vol 23
(1)
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pp. 15-20
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Keyword(s):
1978 ◽
Vol 30
(03)
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pp. 573-582
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Keyword(s):