Sentence examples for groups of degree from inspiring English sources
[M1] G. Malle: Polynomials for primitive nonsolvable permutation groups of degree d<=15.
By then, he had made a name for himself by completing the determination of the substitution groups of degree 8 and 9, completing and correcting previous work by Cayley, Cole and Jordan.
Later, in work completed at Cornell, he published the list of the 994 intransitive groups of degree 10 and, for this work, he received a prize from the Academy of Sciences of Cracow.
For example, knowledge of stable homotopy groups of degree up to 48 has been used to settle the Kervaire invariant problem in dimension 26 − 2 = 62.
The real special linear group of degree n naturally acts on the vector space of n×n real symmetric matrices.
A simple criterion to construct a t-design on n+1 points from a t-ply homogeneous permutation group of degree n using some orbits of the group is obtained.
(S_n) means a symmetric group of degree n. (A_n) denotes the alternating group of degree n. (GL_n q)) denotes the general linear group of degree n over the field of order q.
Let (mathfrak{G }) be the self-similar group of degree (2) of Example 2.16.
By the structures of the groups of order six and twelve, one has that G ≅ S 3 or A 4, where S 3 is a symmetric group of degree three and A 4 is an alternating group of degree four.
(PGL_n q)) denotes the projective general linear group of degree n over the field of order q.
