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Covers useful lemmas for p-groups, including divisibility properties and the existence of specific elements in finite abelian groups.
Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Explores torsion and divisibility in abelian groups, including p-divisible groups and their contrast with torsion elements.
Explores the relationship between p-torsion and p-divisibility in group theory, highlighting implications of p-divisibility in exact sequences of abelian groups.
Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.
