Extensions of a problem of Paul Erdös on groups
1981 ◽
Vol 31
(4)
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pp. 459-463
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AbstractThe main results are as follows. A finitely generated soluble group G is polycyclic if and only if every infinite set of elements of G contains a pair generating a polycyclic subgroup; and the same result with “polycyclic” replaced by “coherent”.
1994 ◽
Vol 50
(3)
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pp. 459-464
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2012 ◽
Vol 87
(1)
◽
pp. 152-157
1978 ◽
Vol 19
(2)
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pp. 153-154
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Keyword(s):
1983 ◽
Vol 35
(2)
◽
pp. 218-220
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Keyword(s):
1992 ◽
Vol 53
(1)
◽
pp. 116-119
Keyword(s):
1976 ◽
Vol 28
(6)
◽
pp. 1302-1310
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1990 ◽
Vol 48
(3)
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pp. 397-401
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Keyword(s):
2000 ◽
Vol 61
(1)
◽
pp. 33-38
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Keyword(s):
2000 ◽
Vol 62
(1)
◽
pp. 141-148
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Keyword(s):
1989 ◽
Vol 40
(2)
◽
pp. 243-254
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