// create a group object Group g = Group::createGroup("D4"); // get the group type GroupType type = g.GetGroupType(); // print the group type cout << "The group type is: " << type << endl;
// create a group object Group g = Group::createGroup("S3"); // get the group type GroupType type = g.GetGroupType(); // check if the group is abelian if (type == ABELIAN) { cout << "The group is abelian" << endl; } else { cout << "The group is not abelian" << endl; }In this example, we create a group object representing the symmetric group S3 and use the GetGroupType function to retrieve its type. We then check if the group is abelian by comparing its type to the ABELIAN constant and print the result to the console. Package/Library: The Group class and its GetGroupType function are likely part of a package or library that deals with group theory and algebraic structures, such as the BOOST library or the GAP system.