Remarks on matric groups

Algebraic Matric Groups.

where the diagonal elements of DI were denoted by cos qpj + i sin (pi. As is well known, the number of real parameters in R, if (4) is not fulfilled, can be counted as follows: the first column Rji is an n dimensional vector of length 1, giving n1 parameters; the second column Rp is of length 1 and is orthogonal to the first column giving n 2 parameters; the third column of R must be a unit vec...

Remarks on Catjchy's Integral Formula in Matric Spaces

Remarks on proficient groups

Article history: Received 29 July 2008 Available online 17 June 2009 Communicated by Peter Webb Dedicated to the memory of Karl Gruenberg

Remarks on 2-Groups

A 2-group is a ‘categorified’ version of a group, in which the underlying set G has been replaced by a category and the multiplication map m:G× G → G has been replaced by a functor. A number of precise definitions of this notion have already been explored, but a full treatment of their relationships is difficult to extract from the literature. Here we describe the relation between two of the mo...

Some Remarks on Commuting Fixed Point Free Automorphisms of Groups

In this a‌r‌t‌i‌c‌l‌e we will find n‌e‌c‌e‌s‌s‌a‌r‌y and s‌u‌f‌f‌i‌c‌i‌e‌n‌t c‌o‌n‌d‌i‌t‌i‌o‌n‌s for a f‌i‌x‌e‌d  p‌o‌i‌n‌t f‌r‌e‌e autom‌o‌r‌p‌h‌i‌s‌m (f‌p‌f a‌u‌t‌o‌m‌o‌r‌p‌h‌i‌s‌m) o‌f a g‌r‌o‌u‌p t‌o b‌e a c‌o‌m‌m‌u‌t‌i‌n‌g a‌u‌t‌o‌m‌o‌r‌p‌h‌i‌s‌m. F‌o‌r a given prim‌e ‌ we  f‌i‌n‌d t‌h‌e s‌m‌a‌l‌l‌e‌s‌t o‌r‌d‌e‌r o‌f a n‌o‌n a‌b‌e‌l‌i‌a‌n p-g‌r‌o‌u‌p a‌d‌m‌i‌t‌t‌i‌n‌g a c‌o‌m‌m‌u‌t‌i‌n‌g f...