Some New Group Theoretic Properties of Singular Linear Sequential Machines
Pierre Lavallee · IEEE Transactions on Electronic Computers · 1965
In this short paper it is shown how some simple concepts of group theory are used in the analysis of singular linear sequential machines: specifically it is shown that a set of states called the junction states form a group and more important a subgroup of the group (the set of junction states which belongs to the set of states mapping into the 0 state after 1 unit of time) plays a fundamental role in its relation to synthesis.