💡 Words with a Similar Meaning to "Simple group"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| trivial groupnoun | (group theory) The unique group (up to isomorphism) consisting of a single element (which is the identity element). |
| free groupnoun | (group theory) A group that has a presentation without relators; equivalently, a free product of some number of copies of ℤ. |
| groupnoun | A number of things or persons being in some relation to one another. |
| sporadic groupnoun | (group theory) Any one of the 26 exceptional finite simple groups, which do not belong to any of the general, infinite categories specified by the classification theorem for finite simple groups. |
| basenoun | Something from which other things extend; a foundation. |
| 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. |
| group theorynoun | (algebra, uncountable) The mathematical theory of groups. |
| simple ringnoun | (algebra, ring theory) A ring that contains no nontrivial ideals (i.e., no (two-sided) ideals other than the zero ideal and the ring itself). |
| cyclic groupnoun | (group theory) A group generated by a single element. |
| primitive elementnoun | (algebra, field theory, of a finite field) An element that generates the multiplicative group of a given Galois field (finite field). |
| 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. |
| linear groupnoun | (group theory) Any group that is isomorphic to a matrix group. |
| subgroupnoun | A group within a larger group; a group whose members are some, but not all, of the members of a larger group. |
| symmetric groupnoun | (mathematics) A group whose elements are precisely all of the bijections of some set with itself and whose operation is composition of those bijections. |
| soclenoun | (architecture) A low plinth or pedestal used to display a statue or other artwork. |
| chain groupnoun | (algebraic topology) A free abelian group generated by all the k-dimensional oriented simplices of a given simplicial complex. |
| symmetry groupnoun | (geometry, algebra, group theory) A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition. |
| triangle groupnoun | (mathematics) A group that can be realized geometrically by sequences of reflections across the sides of a triangle. |
| 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. |
| pseudogroupnoun | (chemistry) Any group of the extended periodic table containing lanthanides or actinides |
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