# automorphism

(redirected from Automorphism group)
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Related to Automorphism group: Finite group, Cyclic group

## automorphism

[¦ȯd·ō′mȯr‚fiz·əm]
(mathematics)
An isomorphism of an algebraic structure with itself.
References in periodicals archive ?
In this sense, it does take into account the automorphism group of the vector v.
The automorphism group is one of such since it is a form of autotopism.
Since we are interested in the action of the automorphism group of [SG.
However, it appeared that the condition "strongly symmetric with respect to the distinguished vertices" is stronger than necessary, and experimentally, it seemed that it could be relaxed to "the automorphism group acts 2-homogeneously on the set of distinguished vertices".
An finite group G is a fixed-free automorphism group of a map M = ([X.
In Section 2, we describe the tangle decomposition of a (3 + 1)-free poset into clone sets and tangles and use it to compute the poset's automorphism group.
To every loop (L, *) with automorphism group AU M (L, *), there corresponds another loop.
In Model theory of groups and automorphism groups (Blaubeuren, 1995), pages 126-133.
Among specific topics are estimates for exponential sums with a large automorphism group, combinatorial cubic surfaces and reconstruction theorems, singularity invariants related to Milnor numbers, motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties, and applications of some zeta functions in group theory.
Let Aut(D, [direct sum]) be the automorphism group of the grupoid (D, [direct sum]).
The automorphism group Aut([pi]) = Aut(V, 0, [pi]) of the dissident triple (V, 0, [pi]) is isomorphic to the exceptional Lie group [G.
The automorphism group of a code is useful in the study of equivalence classes of codes.

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