Comparison of Series
A refinement of a series is another series containing each of the terms of the original series. Refinement gives a partial order on series, and they form a lattice, while subnormal series and normal series form sublattices. Of particular interest are maximal series without repetition.
Two subnormal series are said to be equivalent or isomorphic if there is a bijection between the sets of their factor groups such that the corresponding factor groups are isomorphic.
Read more about this topic: Subgroup Series
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