Group-Characters of Various Linear Groups: A Dissertation Submitted to the Faculty of the Ogden Graduate School of Science, in Candidacy for the ... Department of Mathematics (Classic Reprint) - Hardcover
Synopsis
Excerpt from Group-Characters of Various Linear Groups: A Dissertation Submitted to the Faculty of the Ogden Graduate School of Science, in Candidacy for the Degree of Doctor of Philosophy; Department of Mathematics
In Part I we consider the group HE sle (2, p 2, of all binary linear homogeneous substitutions in the GF [pn], of determinant unity. By the aid of two theorems due to Frobenius on the relation between the characters of a group and those Of one of its quotient-groups, we deduce as a corollary the char actera of the group FE lf(2, p 2, of all binary linear fractional subeti tutions in the GF [p] of determinant unity (when in their normal forms). We have also obtained these characters directly by the method applied to the group H the chief points of difference in the treatment are stated in foot-notes. The results are a direct generalization of those Obtained by Frobenius. In Part II we consider the group 1715 sle (2, p: 2. This is identical with the group LF (2, p 2. Part III deals with the group F, of all binary linear fractional substitutions in the p>2, of determinant not zero. The group H is treated with considerable detail; the others briefly.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"synopsis" may belong to another edition of this title.
