What does center (group theory) mean?
Definitions for center (group theory)
cen·ter (group the·o·ry)
This dictionary definitions page includes all the possible meanings, example usage and translations of the word center (group theory).
Wikipedia
Center (group theory)
In abstract algebra, the center of a group, G, is the set of elements that commute with every element of G. It is denoted Z(G), from German Zentrum, meaning center. In set-builder notation, Z(G) = {z ∈ G | ∀g ∈ G, zg = gz}.The center is a normal subgroup, Z(G) ⊲ G. As a subgroup, it is always characteristic, but is not necessarily fully characteristic. The quotient group, G / Z(G), is isomorphic to the inner automorphism group, Inn(G). A group G is abelian if and only if Z(G) = G. At the other extreme, a group is said to be centerless if Z(G) is trivial; i.e., consists only of the identity element. The elements of the center are sometimes called central.
Numerology
Chaldean Numerology
The numerical value of center (group theory) in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of center (group theory) in Pythagorean Numerology is: 8
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"center (group theory)." Definitions.net. STANDS4 LLC, 2024. Web. 8 Sep. 2024. <https://www.definitions.net/definition/center+%28group+theory%29>.
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