On supplements in finite groups
1963 ◽
Vol 3
(1)
◽
pp. 63-67
Keyword(s):
Let G be a finite group. If N denotes a normal subgroup of G, a subgroup S of G is called a supplement of N if we have G = SN. For every normal subgroup of G there is always the trivial supplement S = G. The existence of a non-trivial supplement is important for the extension theory, i.e., for the description of G by means of N and the factor group G/N. Generally, a supplement S is the more useful the smaller the intersection S ∩ N. If we have even S ∩ N = 1, then S is called a complement for N in G. In this case G is a splitting extension of N by S.
1969 ◽
Vol 10
(3-4)
◽
pp. 359-362
1997 ◽
Vol 40
(2)
◽
pp. 243-246
Keyword(s):
2008 ◽
Vol 01
(03)
◽
pp. 369-382
Keyword(s):
2019 ◽
Vol 19
(05)
◽
pp. 2050093
◽
Keyword(s):
2017 ◽
Vol 2017
(732)
◽
pp. 247-253
2016 ◽
Vol 15
(03)
◽
pp. 1650053
Keyword(s):
2011 ◽
Vol 53
(2)
◽
pp. 401-410
◽
Keyword(s):
2013 ◽
Vol 12
(04)
◽
pp. 1350002
◽