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Translation of Several Mathematical Nouns
Group, cyclic group, commutative group, subgroup, order of element, inverse element, * * * yoke relation, normalizer, * * * yoke subgroup, coset, simple group, P- group, center, quotient group.

Conversely:

group

cyclic group

abelian group

subgroup

Order of elements

contrary/opposite

Conjugate relation

Standardization group

Conjugate subgroup

coset

Simple group

P- group

centre

business group