i) If [mathematical expression not reproducible] is a finite field, then [mathematical expression not reproducible] is a cyclic group
of order m and is generated by Frobenius automorphism [[phi].
The numbers 0 through 10 form the cyclic group
or commutative ring upon which summation (mod 11) and multiplication (mod 11) are defined.
k] - the cyclic group
of order k) are determined by their endomorphism semigroups in the class of all groups.
A smaller proportion of women in the continuous regimen group than in the cyclic group
reported backache at six months (39% vs.
12] = 1), a cyclic group
of order 12, 0((G [union] I)) = 60.
Since [PSI] is invertible, it generates a cyclic group
([PSI]} acting on J(P), but the orbit structure is not immediately apparent.
The Group Calculator allows the user to select a group from one of several families: cyclic group
of order n, dihedral group [D.
Among the topics are partition functions and box-spline, the calculus of operator functions, toric Sasaki-Einstein geometry, automorphic representations, rigidity of polyhedral surfaces, number theory techniques in the theory of Lie groups and differential geometry, the flabby glass group of a finite cyclic group
, Green's formula in Hall algebras and cluster algebras, zeta functions in combinatorics and number theory, and soliton hierarchies constructed from involutions.
Let G be a finite cyclic group
, and [theta] [member of] G be a generator of G.
Breakthrough bleeding was reported by more women in the continuous treatment group (13%) than in the cyclic group
(7%) (P = .
In particular, Jacques Wolfmann studied within this framework the notion of cyclic code (code which is invariant by the action of the cyclic group
of permutations: particular case of affine groups).
The 68 women (mean age 28) who completed the study in the cyclic group
applied a new patch weekly for 3 consecutive weeks, and then skipped a week to allow for bleeding.