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Derived subgroup

💡 Words with a Similar Meaning to "Derived subgroup"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
derived groupnoun(algebra) The subgroup of a specified group generated by the larger group's commutators.
commutator subgroupnoun(algebra) The subgroup of a specified group generated by the larger group's commutators.
subsubgroupnounA subgroup of a subgroup
normal subgroupnoun(group theory) A subgroup H of a group G that is invariant under conjugation; that is, for all elements h of H and for all elements g in G, the element ghg⁻¹ is in H.
subgroupnounA group within a larger group; a group whose members are some, but not all, of the members of a larger group.
subgroupingnounA subgroup
subgroupoidnoun(mathematics) A subset of a groupoid closed under inversion and composition.
supergroupnoun(music) A group of musicians, each a star of another band (especially in rock music).
subhypergroupnoun(mathematics) A specific type of subset of a hypergroup
quotient groupnoun(group theory) A group obtained from a larger group by aggregating elements via an equivalence relation that preserves group structure.
commutator lengthnounThe number of multiplicands needed, at a minimum, to express a given group element as a product of commutators.
torsion subgroupnoun(algebra) Subgroup of an abelian group whose generators have finite order.
subsemigroupnoun(mathematics) Any subset of a semigroup that is closed under the semigroup operation.
direct productnoun(set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
soclenoun(architecture) A low plinth or pedestal used to display a statue or other artwork.
commutantnoun(algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset
overgroupnoun(mathematics) A supergroup.
grothendieck groupnoun(mathematics) An abelian group constructed from a commutative monoid in a universal way.
stabilizer subgroupnoun(algebra) Said of a group acting on a set, and with respect to an element of that set: the subgroup of the given group whose action leaves that element fixed.
hypergroupnoun(mathematics) Any algebraic group equipped with a hyperoperation.

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