trivial automorphism造句
例句與造句
- Penttila and Royle have shown that any other hyperoval in this plane would have to have a trivial automorphism group.
- The identity morphism ( identity mapping ) is called the "'trivial automorphism "'in some contexts.
- However, in groups where all elements are equal to their inverse this is the trivial automorphism, e . g . in the Klein four-group.
- A related notion is a universal property, where an object is not only essentially unique, but unique " up to a unique isomorphism " ( meaning that it has trivial automorphism group ).
- Note that the automorphism group of C _ 3 is C _ 2 and the automorphism of C _ 3 used in the semidirect product that gives rise to S _ 3 is the non-trivial automorphism that permutes the two non-identity elements of C _ 3.
- It's difficult to find trivial automorphism in a sentence. 用trivial automorphism造句挺難的
- The topological spaces formed by these subsets of the plane thus have a trivial automorphism group; de Groot used this construction to show that all groups are the automorphism group of some compact Hausdorff space, by replacing the edges of a Cayley graph of the group by spaces with no nontrivial automorphisms and then applying the Stone ech compactification.
- Beyond this split ( or untwisted ) form of E 6, there is also one other form of E 6 over the finite field "'F " "'q ", known as 2 E 6, which is obtained by twisting by the non-trivial automorphism of the Dynkin diagram of E 6.
- In all these cases except for D 4, there is a single non-trivial automorphism ( Out = " C " 2, the cyclic group of order 2 ), while for D 4, the automorphism group is the symmetric group on three letters ( " S " 3, order 6 ) this phenomenon is known as " triality ".
- The compact real form of E 6 as well as the noncompact forms EI = E 6 ( 6 ) and EIV = E 6 (-26 ) are said to be " inner " or of type 1 E 6 meaning that their class lies in " H " 1 ( " k ", E 6, ad ) or that complex conjugation induces the trivial automorphism on the Dynkin diagram, whereas the other two real forms are said to be " outer " or of type 2 E 6.