On this page:
Definition of the noun abelian group
What does abelian group mean as a name of something?
- a group that satisfies the commutative law
Abelian group: In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on their order. Abelian groups generalize the arithmetic of addition of integers. They are named after Niels Henrik Abel.
- also known as 阿贝尔群
Printed dictionaries and other books with definitions for Abelian group
Click on a title to look inside that book (if available):
by Eric W. Weisstein
See also ABELIAN GROUP, CATEGORY Abelian Group References Freyd, P. Abelian Categories: An Introduction to the Theory of Functors. New York: Harper & Row, 1964. Grothendieck, A. "Sur quelques points d'alge`bre homologique.
Encyclopedia of Algorithms (2008)
by Ming-Yang Kao
Keywords and Synonyms Generalization of Abelian stabilizer problem; Generalization of Simon's problem Problem Definition The Abelian hidden subgroup problem is the problem of finding generators for a subgroup K of an Abelian group ...
Fourth edition by David Nelson
a ° b=b ° a for every pair of elements a, b in G, then the group is said to be commutative or Abelian (see Abelian group). So the set of integers with the operation of addition forms ...
Encyclopaedia of Mathematics (1989)
by Michiel Hazewinkel
Let M be an Abelian group, let G(K / k) be the Galois group of an extension K / k and suppose G(K / k) acts on M\ the Galois cohomology groups will then be the cohomology groups H"(K /k, M) = H"(G(K / k), M), n>0, defined by the complex (C, d) ...
by Christopher Date
Abelian group Seegroup (mathematics). absolute complement See complement (set theory). absorption Let operators OpC and ...
The Encyclopaedia Britannica (1911)
A Dictionary of Arts, Sciences, Literature and General Information by Hugh Chisholm
Thus the classs 'mbols form an Abelian group ...
Online dictionaries and encyclopedias with entries for Abelian group
Click on a label to prioritize search results according to that topic:
Video language resources about Abelian group
Click on an item to play that video:
- (Abstract Algebra 1) Definition of an Abelian Group
A definition of an abelian group is provided along with examples using matrix groups. The general linear group and the special linear group are introduced.
- Abelian group Meaning
Video shows what abelian group means. A group in which the group operation is commutative.. abelian group synonyms: commutative group. Abelian group ...
- Dictionary - Abelian group
Share this page
Go to the thesaurus of Abelian group to find many related words and phrases!