Abstract Algebra: Theory and Applications · Problem 9.4.52

Normal Subgroups and Factor Groups — Thomas Judson

Mathematics — Abstract Algebra · direct-products-subgroups

Problem

Let

H_1

and

H_2

be subgroups of

G_1

and

G_2

, respectively. Prove that

H_1 \times H_2

is a subgroup of

G_1 \times G_2