Sentence examples for a finite group acts from inspiring English sources

The number κ ( x ) encodes so the orbit length of x under the automorphism group A. (2) One can also see this as graded summation of an elementary result in linear algebra (see [29], p.21): if a finite group acts linearly on a finite dimensional vector space V, then dim ( F ) = ( 1 / | A | ) ∑ T ∈ A tr ( T ).

Let $G$ be a finite group acting on $R$.

Let $G$ be a finite group acting on a ring $R$.

A residually finite group acts on a profinite completion by left translation.

In her 1915 paper, Noether found a solution to the finite basis problem for a finite group of transformations G acting on a finite-dimensional vector space over a field of characteristic zero.

It was clear to Burnside that an infinite group (such as the positive integers) may have a finite number of generators and a finite group must have finite generators, but he wondered if an infinite group could result from using a finite set of generators, each of finite order.

Burnside's problem, in group theory (a branch of modern algebra), problem of determining if a finitely generated periodic group with each element of finite order must necessarily be a finite group.

Must G be a finite group?

The problem is that Al Qaeda represents an ideological movement, not a finite group of people.

And, if that's not ominous enough, consider this: "The problem is that Al Qaeda represents an ideological movement, not a finite group of people.

"The problem is that Al Qaeda represents an ideological movement, not a finite group of people," the report said in its executive summary.