HomeServicesBlogDictionariesContactSpanish Course
← Back to search

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.
See all B2 English words →

See also

Learn this word in context

See quotient group used in real conversations inside our free language course.

Start Free Course

Know this word better than we do? Language is a living thing — help us keep it growing. Collaborate with Babel Free