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Some generalizations of normal series in infinite groups
Published online by Cambridge University Press: 09 April 2009
Extract
In this paper, we are concerned with certain generalizations of subnormal and ascendent (transfinitely subnormal) subgroups of a group. A subgroup A of a group G is called f-ascendent in G if there is a well ordered ascending complete series of subgroups of G, where for all α < λ, either Gα ⊲ Gα+1 or [Gα+1: Gα] < ∞. If such a series has finite length, A is called F-subnormal in G.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 14 , Issue 4 , December 1972 , pp. 496 - 502
- Copyright
- Copyright © Australian Mathematical Society 1972
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