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Soluble groups with complemented subnormal subgroups
To Bernhard Hermann Neumann on his 60th birthday
Published online by Cambridge University Press: 09 April 2009
Extract
A subgroup A of a group G is said to be complemented in G if G contains a subgroup C such that . Every subgroup C with its property is called a complement of A in G. Various results have been obtained about groups in which each member of a given set of subgroups is complemented. Some of these results state, roughly speaking, that the existence of complements of all members of a given set of subgroups implies that all members of larger set are also complements. In this paper we derive another theorem of this kind.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 465 - 468
- Copyright
- Copyright © Australian Mathematical Society 1969
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