Odd order nilpotent groups of class two with cyclic centre
1974 ◽
Vol 17
(2)
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pp. 142-153
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Keyword(s):
The isomorphism problem for finite groups of odd order and nilpotency class 2 with cyclic centre will be solved using some results of Brady [1], [2]. Since a finite nilpotent group is the direct product of its Sylow subgroups, we only need to consider finite q-groups where q is a prime. It has been shown in [1] and [2] that a finite q-group of nilpotency class 2 with cyclic centre is a central product either of two-generator subgroups with cyclic centre or of two-generator subgroups with cyclic centre and a cyclic subgroup, and that the q-groups of class 2 on two generators with cyclic centre comprise the following list: , and if q = 2 we have as well .
Keyword(s):
2018 ◽
Vol 17
(04)
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pp. 1850065
1970 ◽
Vol 22
(1)
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pp. 36-40
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Keyword(s):
2019 ◽
Vol 19
(04)
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pp. 2050062
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1979 ◽
Vol 75
◽
pp. 121-131
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Keyword(s):
1960 ◽
Vol 12
◽
pp. 73-100
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1955 ◽
Vol 7
◽
pp. 169-187
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Keyword(s):
1956 ◽
Vol 52
(1)
◽
pp. 5-11
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