2 resultados para CHARACTERS
em CaltechTHESIS
Resumo:
Suppose that AG is a solvable group with normal subgroup G where (|A|, |G|) = 1. Assume that A is a class two odd p group all of whose irreducible representations are isomorphic to subgroups of extra special p groups. If pc ≠ rd + 1 for any c = 1, 2 and any prime r where r2d+1 divides |G| and if CG(A) = 1 then the Fitting length of G is bounded by the power of p dividing |A|.
The theorem is proved by applying a fixed point theorem to a reduction of the Fitting series of G. The fixed point theorem is proved by reducing a minimal counter example. IF R is an extra spec r subgroup of G fixed by A1, a subgroup of A, where A1 centralizes D(R), then all irreducible characters of A1R which are nontrivial on Z(R) are computed. All nonlinear characters of a class two p group are computed.
Resumo:
[Introduction]Giraldi Cinthio’s short story "The Moor of Venice" forms the basis for William Shakespeare’s tragedy Othello. In addition to altering a number of minor aspects of the original tale, Shakespeare also introduces several overarching changes to the narrative by shortening the time frame of the story and excluding fate as a primary driving force of the plot. By diminishing the consequences of time and fate, Shakespeare allows the characters and their inner motivations to be at the forefront of the action.