In group theory, a descendant tree is a graphical representation used to illustrate the structure of a group, particularly when considering subgroup relationships and the generating processes of those subgroups. It typically represents the idea of iteratively forming subgroups by considering the set of all possible subgroups generated by a given subgroup. ### Key Concepts: 1. **Group**: A set \( G \) equipped with a binary operation that satisfies the group axioms (closure, associativity, identity element, and invertibility).
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