| NOUN | a quotient group | quotient groups |
NOUN article.ind sg | pl
22 Übersetzungen
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Anwendungsbeispiele Englisch
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- The first isomorphism theorem states that the image of a group homomorphism, "h"("G") is isomorphic to the quotient group "G"/ker "h".
- The notation "L" / "K" is purely formal and does not imply the formation of a quotient ring or quotient group or any other kind of division.
- We can write the statement of the fundamental theorem on homomorphisms of groups as "every homomorphic image of a group is isomorphic to a quotient group".
- A quotient group or factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves some of the group structure (the rest of the structure is "factored" out).
- Commutators are used to define nilpotent and solvable groups and the largest abelian quotient group.
- An important example is a quotient group of a group.
- The quotient group [...] is isomorphic to the Klein four-group.
- Given [...] , every automorphism of [...] induces an automorphism of the quotient group [...] , which yields a homomorphism [...].
© dict.cc English-German dictionary 2024
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