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Full-Text Articles in Physical Sciences and Mathematics
A Generalization Of Cayley Graphs For Finite Fields, Dawn M. Jones
A Generalization Of Cayley Graphs For Finite Fields, Dawn M. Jones
Dissertations
A central question in the area of topological graph theory is to find the genus of a given graph. In particular, the genus parameter has been studied for Cayley graphs. A Cayley graph is a representation of a group and a fixed generating set for that group. A group is said to be planar if there is a generating set which produces a planar Cayley graph. We say that a group is toroidal if there is a generating set that produces a toroidal Cayley graph and if there are no generating sets which produce a planar Cayley graph. Characterizations for …
Units In Integral Group Rings For Direct Products, Richard M. Low
Units In Integral Group Rings For Direct Products, Richard M. Low
Dissertations
Given a finite group G and the ring of integers, one can form the integral group ring ZG . A natural problem to investigate is to find a description of the group of units for this ring ZG. Since the unit problem for integral group rings arises in the contexts of algebraic topology, number theory, and algebra, it is an important question to try to answer. For this reason, it has drawn the attention of researchers from diverse areas of mathematics.
Graham Higman (circa 1940) made substantial contributions to the solution of this problem, in the case where G was …
Perturbed Hamiltonian System Of Two Parameters With Several Turning Points, Myeong Joon Ann
Perturbed Hamiltonian System Of Two Parameters With Several Turning Points, Myeong Joon Ann
Dissertations
No abstract provided.