we consider the class $mathfrak m$ of $bf r$--modules where $bf r$ is an associative ring. let $a$ be a module over a group ring $bf r$$g$, $g$ be a group and let $mathfrak l(g)$ be the set of all proper subgroups of $g$. we suppose that if $h in mathfrak l(g)$ then $a/c_{a}(h)$ belongs to $mathfrak m$. we investigate an $bf r$$g$--module $a$ such that $g not = g'$, $c_{g}(a) = 1$. we stud...

The Annual Bio-Ontologies meeting (http://www.cs.man.ac.uk/ stevens/meeting03/) has now been running for 6 consecutive years, as a special interest group (SIG) of the much larger ISMB conference. It met in Brisbane, Australia, this summer, the first time it was held outside North America or Europe. The bio-ontologies meeting is 1 day long and normally has around 100 attendees. This year there w...

The prime graph of a finite group $G$ is denoted by$ga(G)$. A nonabelian simple group $G$ is called quasirecognizable by primegraph, if for every finite group $H$, where $ga(H)=ga(G)$, thereexists a nonabelian composition factor of $H$ which is isomorphic to$G$. Until now, it is proved that some finite linear simple groups arequasirecognizable by prime graph, for instance, the linear groups $L_...

This paper finds the Artin characters and exponent dependingon character table conjugacy classes of projective special lineargroup PSL (2,P*).Then we prove that (2, P*) isequal to p*' where P is a prime number , p=3 k> 0.

let $g$ be a finite group. we construct the prime graph of $ g $,which is denoted by $ gamma(g) $ as follows: the vertex set of thisgraph is the prime divisors of $ |g| $ and two distinct vertices $ p$ and $ q $ are joined by an edge if and only if $ g $ contains anelement of order $ pq $.in this paper, we determine finite groups $ g $ with $ gamma(g) =gamma(l_3(q)) $, $2 leq q < 100 $ and prov...