Semantic search

	Quick phrase	Defining ingredient
Commuting fraction		Number of conjugacy classes Order of a group FZ-group Index of a subgroup Center Centralizer
Cyclicity-forcing number		Order of a group Cyclic group Euler totient function Square-free number Abelianness-forcing number Nilpotency-forcing number
Finite group in which half or more of the elements are involutions		Involution Order of a group Order statistics of a finite group
Number of one-dimensional representations equals order of abelianization		Order of a group Abelianization Derived subgroup
Odd-order abelian group		Order of a group
Odd-order cyclic group		Cyclic group Odd-order group Order of a group
Order of an automorphism		Automorphism of a group Order of an element Order of a group
Order-automorphic subgroup		Order of a group Automorphic subgroups
Order-normal subgroup		Order of a group Normal subgroup
Sylow subgroup		Group of prime power order Index of a subgroup Order of a group Hall subgroup

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