The bookUnit 2 · Groups43 / 83

Finite abelian groups

Why this is asked: Convert between invariant-factor and elementary-divisor form fast, and count subgroups/elements of a given order using the partition structure.

Structure of finite abelian groups

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Classifying finite abelian groups, and telling two apartinteractive

Counting the groups of a given order, and the invariant that distinguishes them in one step.

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The number of non-isomorphic abelian groups of order 72 is

Next: Ideals, quotient rings, prime & maximal ideals, CRT

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Open this in the full syllabus view · Unit 2