Subquotient

Translation of "subquotient" into Russian

Noun

/sʌbˈkwəʊʃənt/

/sʌbˈkwoʊʃənt/

subquotient

subquotients pl

подчастное

The subquotient of a group is an important concept in algebra.

Подчастное группы является важным понятием в алгебре.

Additional translations

Noun

/sʌbˈkwəʊʃənt/

/sʌbˈkwoʊʃənt/

In mathematics, the quotient H∕K obtained from a subgroup (or submodule) H of a group (or module) G when K is a subgroup of H; also called a section.

For the group G, the subquotient H∕K is abelian, which simplifies the structure analysis.

Adjective

/sʌbˈkwəʊʃənt/

/sʌbˈkwoʊʃənt/

Relating to, constituting, or involving a subquotient.

The proof relies on a subquotient series to establish solvability.