Sentence examples for be a finite group from inspiring English sources

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.

Let be a finite group.

Let G be a finite group.

Theorem C Let G be a finite group.

Theorem B Let G be a finite group.

Let K be a field of prime characteristic p and G be a finite group.

G is a (finite) group.

Suppose that (G) is a finite group and (H) is a subgroup of (G).

If G is a finite group there is an isomorphism between the group (H_2(G, {mathbb {Z}})) and the group of 'Schur multipliers' (H^2 (G, {mathbb {C}}^*)).

Permutational wreath products of the form (A wr _X G_omega ), where (A ne {1}) is a finite group and (G_omega ) is as in Theorem 1.10 [15].

In particular, if G is a finite group with the identity element e, then χ ( e ) = 1 and χ ( a ) is a root of unity.