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Meaning of quotient group | Babel Free

Noun CEFR B2

Definitions

A group obtained from a larger group by aggregating elements via an equivalence relation that preserves group structure.

Equivalents

Examples

“This paper shows how to compute the quotient groups Jⁿ/Jⁿ⁺¹ (as well as the multiplicative structure of the graded ring consisting of these quotient groups).”
“The Weyl group is the quotient group N_H/T_H, and in the present case the Weyl group is simply the permutation group S₃.”
“The class of reflexive groups doesn't behave nicely with regards to operations: a closed subgroup of a reflexive group need not be reflexive, and a quotient group of a reflexive group need not be reflexive.”

CEFR level

B2
Upper Intermediate
This word is part of the CEFR B2 vocabulary — upper intermediate level.

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