quotient group
Word Rarity
Rare
Frequency: Zipf frequency 2.95 in modern English
25
Scrabble Score
13
Letters
4
Syllables
10
Unique Chars
Meaning
noun
A group obtained from a larger group by aggregating elements via an equivalence relation that preserves group structure.
Example Sentences
- "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."