general/properties-of-groups
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Nielsen–Schreier theorem
Theorem that every subgroup of a free group is itself free
Perfect group
Mathematical group with trivial abelianization
Algebraically closed group
Group allowing solution of all algebraic equations
Locally finite group
Type of group
SQ-universal group
Type of countable group in group theory
Polycyclic group
Type of solvable group in mathematics
Torsion group
Group in which each element has finite order
Non-abelian group
1=Group where ab = ba does not always hold