English Dictionary

quotient group

名詞

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

日本語の意味

商群：群論において、大きな群から、群の構造（演算）を保持しながら、ある同値関係に基づいて元をまとめることで得られる新たな群。

To understand the structure of a quotient group, students examine how a normal subgroup partitions the original group into cosets.

剰余群の構造を理解するために、学生たちは正規部分群が元の群を陪集合に分割する様子を調べる。

意味（1）

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

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).

quotient groups （ plural ）