Definition of Commutative group

1. Noun. A group that satisfies the commutative law.

Exact synonyms: Abelian Group
Generic synonyms: Group, Mathematical Group



Commutative Group Pictures

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Lexicographical Neighbors of Commutative Group

commutabilities
commutability
commutable
commutableness
commutant
commutants
commutate
commutated
commutates
commutating
commutation
commutation ticket
commutations
commutative
commutative algebra
commutative group (current term)
commutative justice
commutatively
commutativeness
commutativities
commutativity
commutator
commutator length
commutator lengths
commutator subgroup
commutator subgroups
commutators
commute
commuted
commuter

Literary usage of Commutative group

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Cambridge Colloquium 1916 by Griffith Conrad Evans, Oswald Veblen (1918)
"The commutative group G 25. Suppose that a group G is determined by n generators #b 929 - • •, gn and a number k of generating relations. ..."

2. Linear Groups: With an Exposition of the Galois Field Theory by Leonard Eugene Dickson (1901)
"A non-commutative group of order 12 having a self-conjugate four-group ... The (?12 would be a commutative group if Fs were commutative with F2, F2', F2". ..."

3. Investigations Representing the Departments: Physics, Chemistry, Geology by University of Chicago (1903)
"TAe binary hyper orthogonal group in the field F(i) has as a subgroup the binary orthogonal commutative group in the field F. 6. ..."

4. Mathematische Annalen by Carl Neumann, Otto Blumenthal, Bartel Leendert Waerden, Adolph Mayer, David Hilbert, Alfred Clebsch, Albert Einstein, Constantin Carath�eodory, Erich Hecke, Felix Klein, Heinrich Behnke (1878)
"This can be effected for any group, in a manner which is selfevident and in nowise interesting: but in a different manner for a commutative group (or group ..."

5. The Collected Mathematical Papers of Arthur Cayley by Arthur Cayley (1896)
"This can be effected for any group, in a manner which is self-evident and in nowise interesting : but in a different manner for a commutative group (or ..."

6. Lectures on Fundamental Concepts of Algebra and Geometry by John Wesley Young (1911)
"A group in which the operation o is commutative throughout is called a commutative group. A Geometrical Group. — As an example of a group in which occur ..."

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