Multiple semidirect products of associative systems
1989 ◽
Vol 31
(3)
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pp. 353-369
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Keyword(s):
Suppose that a group G is the semidirect product of a subgroup N and a normal subgroup M. Then the elements of G have unique expressions mn (m ∈ M, n ∈ N) and the commutator functionmaps N x M into M. In fact there is an action (by automorphisms) of N on M given byConversely, if one is given an action of a group N on a group M then one can construct a semidirect product.
2013 ◽
Vol 13
(01)
◽
pp. 1350077
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Keyword(s):
1982 ◽
Vol 91
(1)
◽
pp. 39-49
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Keyword(s):
1981 ◽
Vol 24
(1)
◽
pp. 79-85
◽
Keyword(s):
1969 ◽
Vol 10
(3-4)
◽
pp. 497-498
◽
Keyword(s):
1973 ◽
Vol 16
(4)
◽
pp. 416-430
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Keyword(s):
1968 ◽
Vol 16
(1)
◽
pp. 19-35
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Keyword(s):
1983 ◽
Vol 26
(2)
◽
pp. 233-240
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1986 ◽
Vol 99
(3)
◽
pp. 425-431
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1969 ◽
Vol 10
(3-4)
◽
pp. 469-474
◽
Keyword(s):
1970 ◽
Vol 68
(3)
◽
pp. 579-582
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