automorphn.
/ˈɔːtə(ʊ)mɔːf/, U.S. /ˈɔdəˌmɔrf/, /ˈɔdoʊˌmɔrf/, /ˈɑdəˌmɔrf/, /ˈɑdoʊˌmɔrf/ Mathematics.
A quantity related to or derived from a given quantity by an automorphism. Also: = automorphism n. 1.Used chiefly in connection with the theory of numbers.
ΚΠ
1895 Messenger Math. 24 181 Attention is drawn to the essential identity of the theory of automorphs with the theory of units in the generalized theory of numbers.
1941 D. H. Lehmer Guide Tables Theory of Numbers 56 These [tables] are used in constructing automorphs of indefinite binary quadratic forms.
1997 J. W. S. Cassels Introd. Geom. Numbers x. 256 A homogeneous linear transformation ω is an automorph of a lattice Λ if ωΛ = Λ.
2004 J. R. Goldman Queen of Math. 196 The automorphs of a primitive indefinite form f, disc(f) = D, are determined by the solutions of the Pell type equations x2 − Dy2 = 1, x2 − Dy2 = 4.
This is a new entry (OED Third Edition, June 2011; most recently modified version published online December 2021).
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n.1895