involutoryadj.

/ɪnvəˈl(j)uːtəri/

Etymology: < Latin type *involūtōrius : see involutorial adj. and -ory suffix².

Mathematics.

That is an involution (sense 6c).

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > transformation > [adjective] > having specific correspondence

orthogonal1852

permutational1888

isomorphic1892

birational1894

unary1931

homomorphic1935

symplectic1939

involutory1941

injective1952

monomorphic1958

bijective1962

surjective1964

1941 G. Birkhoff & S. MacLane Surv. Mod. Algebra viii. 203 The correspondence A↔A′ therefore preserves sums and inverts the order of products, so is sometimes called an anti-automorphism. Since (A′)′ = A, this anti-automorphism is called ‘involutory’.

1971 J. H. Conway in Powell & Higman Finite Simple Groups vii. 217 The p objects permuted by L₂(p)..can in each case be taken as p involutory permutations of the set Ω.

1972 F. J. Budden Fascination of Groups viii. 81 2-groups always arise as subgroups of larger groups whenever there is an ‘involutory’ element present, that is, an element whose square is equal to the identity.

This entry has not yet been fully updated (first published 1976; most recently modified version published online June 2018).

单词	involutory
释义	involutoryadj. /ɪnvəˈl(j)uːtəri/ Etymology: < Latin type involūtōrius : see involutorial adj. and -ory suffix². Mathematics. That is an involution (sense 6c). ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > transformation > [adjective] > having specific correspondence orthogonal1852 permutational1888 isomorphic1892 birational1894 unary1931 homomorphic1935 symplectic1939 involutory1941 injective1952 monomorphic1958 bijective1962 surjective1964 1941 G. Birkhoff & S. MacLane Surv. Mod. Algebra* viii. 203 The correspondence A↔A′ therefore preserves sums and inverts the order of products, so is sometimes called an anti-automorphism. Since (A′)′ = A, this anti-automorphism is called ‘involutory’. 1971 J. H. Conway in Powell & Higman Finite Simple Groups vii. 217 The p objects permuted by L₂(p)..can in each case be taken as p involutory permutations of the set Ω. 1972 F. J. Budden Fascination of Groups viii. 81 2-groups always arise as subgroups of larger groups whenever there is an ‘involutory’ element present, that is, an element whose square is equal to the identity. This entry has not yet been fully updated (first published 1976; most recently modified version published online June 2018). < adj.1941
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