In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove that the commutator subgroup of $mathbb{Z}_{m}*mathbb{Z}_{n}$ is free of rank $(m-1)(n-1)$ fo...

The specification for this project called for a “multi-user space trading game to be played on the web”, which uses a database for storage of game data. The game must be implemented in a language that supports CGI (such as Perl or PHP), Java or ASP on the server side, such that no unusual requirements are placed on the web server. The game must operate in one of Mozilla, Firefox or Internet Exp...