Let A and B be groups and consider the direct product A x B. In regards to subgroups A x B, in 1889, Edouard Goursat proved a theorem that provides the structure of subgroups in a direct product. This study applied the ...

Let A and B be groups and consider the direct product A x B. In 1889, Edouard Goursat proved a theorem that provides the structure of subgroups in a direct product. The purpose of this study was to improve and make more ...

In group theory, we study ways to get new groups from old groups, and we study properties of subgroups and further characterizations of subgroups in various groups. Edouard Goursat determined a method to characterize the ...