- outer automorphism
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Math.an automorphism that is not an inner automorphism.
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Universalium. 2010.
outer automorphism
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Outer automorphism group — In mathematics, the outer automorphism group of a group G is the quotient Aut(G) / Inn(G), where Aut(G) is the automorphism group of G and Inn(G) is the subgroup consisting of inner automorphisms. The outer automorphism group is usually … Wikipedia
outer automorphism — Math. an automorphism that is not an inner automorphism … Useful english dictionary
Outer space (disambiguation) — Outer space refers to the relatively empty regions of the universe outside the atmospheres of celestial bodies. Outer space may also refer to: Outer Space (video game), a 1978 video game OuterSpace, a hip hop duo Outer Space (EP), an EP by S Endz … Wikipedia
automorphism — /aw teuh mawr fiz euhm/, n. Math. an isomorphism from a given set to itself. Cf. inner automorphism, outer automorphism. [1870 75; AUTO 1 + MORPH + ISM] * * * ▪ mathematics in mathematics, a correspondence that associates to every element… … Universalium
automorphism — /aw teuh mawr fiz euhm/, n. Math. an isomorphism from a given set to itself. Cf. inner automorphism, outer automorphism. [1870 75; AUTO 1 + MORPH + ISM] … Useful english dictionary
Automorphism — In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms… … Wikipedia
Inner automorphism — In abstract algebra an inner automorphism is a function which, informally, involves a certain operation being applied, then another one (x) performed, and then the initial operation being reversed. Sometimes this has a net effect ( take off shoes … Wikipedia
Class automorphism — In mathematics, in the realm of group theory, a class automorphism is an automorphism of a group that sends each element to within its conjugacy class. The class automorphisms form a subgroup of the automorphism group. Some facts: Every inner… … Wikipedia
inner automorphism — Math. an automorphism that maps an element x into an element of the form axa 1 where a 1 is the inverse of a. Cf. outer automorphism. * * * … Universalium
inner automorphism — Math. an automorphism that maps an element x into an element of the form axa 1 where a 1 is the inverse of a. Cf. outer automorphism … Useful english dictionary
