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Normal subgroup

💡 Words with a Similar Meaning to "Normal subgroup"

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

WordDefinition
subgroupnounA group within a larger group; a group whose members are some, but not all, of the members of a larger group.
malnormalitynoun(mathematics, group theory) The property of a subgroup H of a group G where, for any x in G but not in H, H and Hˣ intersect in the identity element.
derived subgroupnounThe subgroup of a specified group generated by the larger group's commutators.
normalizernounOne who or that which normalizes, fits to a norm or standard etc.
fitting subgroupnoun(mathematics) For a finite group G: the unique largest normal nilpotent subgroup of G, which intuitively represents the smallest subgroup that "controls" the structure of G when G is solvable.
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.
subsubgroupnounA subgroup of a subgroup
subgroupoidnoun(mathematics) A subset of a groupoid closed under inversion and composition.
centernounThe point in the interior of a circle that is equidistant from all points on the circumference.
supergroupnoun(music) A group of musicians, each a star of another band (especially in rock music).
solvable groupnoun(algebra, Galois theory) A group G which is part of a finite chain Gᵢ (0 ≤ i ≤ n) of subgroups, where G₀ is the trivial subgroup and Gₙ = G, such that each intermediate subgroup Gᵢ is a normal subgroup of the next in the chain (i.e., Gᵢ ◁ Gᵢ₊₁) and each quotient Gᵢ₊₁/Gᵢ is a cyclic group.
derived groupnoun(algebra) The subgroup of a specified group generated by the larger group's commutators.
groupnounA number of things or persons being in some relation to one another.
linear algebraic groupnoun(algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group.
simple groupnoun(group theory) A group which has no normal subgroups apart from the trivial group and itself.
block systemnoun(rail transport) On railways, a system by which the track is divided into sections of three or four miles, and trains are run by the guidance of electric signals so that no train enters a section or block before the preceding train has left it.
hypergroupnoun(mathematics) Any algebraic group equipped with a hyperoperation.
conjugacy classnoun(algebra) A subset of a group which is an equivalence class in the quotient set of the group divided by conjugation as equivalence relation.
subhypergroupnoun(mathematics) A specific type of subset of a hypergroup
commutatornounAn electrical switch, in a generator or motor, that periodically reverses the direction of an electric current.

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