• Anglický jazyk

Quotient Group

Autor: Lambert M. Surhone

High Quality Content by WIKIPEDIA articles! In mathematics, specifically group theory, a quotient group (or factor group) is a group obtained by identifying together elements of a larger group using an equivalence relation. For example, the cyclic group... Viac o knihe

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O knihe

High Quality Content by WIKIPEDIA articles! In mathematics, specifically group theory, a quotient group (or factor group) is a group obtained by identifying together elements of a larger group using an equivalence relation. For example, the cyclic group of addition modulo n can be obtained from the integers by identifying elements that differ by a multiple of n and defining a group structure that operates on each such class (known as a congruence class) as a single entity. In a quotient of a group, the equivalence class of the identity element is always a normal subgroup of the original group, and the other equivalence classes are the cosets of this normal subgroup. The resulting quotient is written G / N, where G is the original group and N is the normal subgroup. (This is pronounced "G mod N," where "mod" is short for modulo.)

  • Vydavateľstvo: OmniScriptum
  • Rok vydania: 2026
  • Formát: Paperback
  • Rozmer: 220 x 150 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9786130320447

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