Abstract
Ascending series. LetGbe a group and λ an ordinal number. An ascending series ofGoftypeλ is a set of subgroupsGαofG, defined for all α ≤ λ, and such that (i)G0= 1,Gλ=G; (ii)Gαis a proper normal subgroup ofGα+1for all α < λ (iii)for all limit ordinals μ ≤ λ.
Publisher
Cambridge University Press (CUP)
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