By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fai...

more when I think what great and notable men have held this chair in the past. I can only endeavour to do my best as a faithful servant of the Branch in the coming year. I do not intend to-night to discuss the progress which has been made in the knowledge of medicine since I was a student. Nor shall I ask you to listen to a political discussion on the anxious problems of the great struggle in w...

‎‎in cite{fr 1‎, ‎fr 2} using faithful complex representations of cyclically pinched and conjugacy pinched one-relator groups we proved that any limit group has a faithful representation in $psl(2,c)$‎. ‎further this representation can be effectively constructed using the jsj decomposition‎. ‎in this note we show that any hyperbolic cyclically pinched one-relator group with maximal amalgamated ...

Recently, the call to combine land change science (LCS) and political ecology (PE) in the study of human-environment interactions has been widely discussed by scientists from both subfields of geography. In this paper, we use a hybrid ecology framework to examine the effects of conservation policies on the environment and the livelihood of the people of the Korup National Park (KNP). Using tech...

by a quasi-permutation matrix we mean a square matrix over the complex field c with non-negative integral trace. thus, every permutation matrix over c is a quasipermutation matrix. for a given finite group g, let p(g) denote the minimal degree of a faithful permutation representation of g (or of a faithful representation of g by permutation matrices), let q(g) denote the minimal degree of a fai...

Whoever came up with the adage, “the law of the jungle”, seems not to have taken time to assess the behavior of the animals in relation to social and political governance as well as their application of the rule of law. The statement is meant to suggest that there is chaos and disorder in the forest so much so that things happen haphazardly. On the contrary, it is more apparent in most African ...