the non commuting graph of a non-abelian finite group $g$ is defined as follows: its vertex set is $g-z(g)$ and two distinct vertices $x$ and $y$ are joined by an edge if and only if the commutator of $x$ and $y$ is not the identity. in this paper we prove some new results about this graph. in particular we will give a new proof of theorem 3.24 of [2]. we also prove that if $g_1$, $g_2$, ..., $...

in this paper‎, ‎we determine the simple groups $g=ab$‎, ‎where $b$ is isomorphic to $l_{3}(4)$ and $a$ isomorphic to an alternating or a symmetric group on $ngeq5$‎, ‎letters‎.

for a nite group g the commutativity degree denote by d(g) and dend: d(g) = jf(x; y)jx; y 2 g; xy = yxgj jgj2 : in [2] authors found commutativity degree for some groups,in this paper we nd commuta- tivity degree for a class of groups that have high nilpontencies.

Program Monday 08h30-09h30 G. Lusztig: On the cleanness of cuspidal character sheaves. 09h45-10h45 P. Achar: Derived Satake equivalence and geometric restriction to a Levi subgroup. 11h15-12h15 G. Williamson: Generators and relations for Soergel bimodules. Tuesday 08h30-09h30 O. Brunat: On semisimple classes in finite reductive groups. 09h45-10h45 R. Charney: Groups Associated to Random Graphs....

BACKGROUND Elearning is ubiquitous in healthcare professions education. Its equivalence to 'traditional' educational delivery methods is well established. There is a research imperative to clarify when and how to use elearning most effectively to mitigate the potential of it becoming merely a 'disruptive technology.' Research has begun to broadly identify challenges encountered by elearning use...

BACKGROUND A new communication method, the "Veder method", has recently been developed. Caregivers are trained to apply this method in a group activity ("living-room theatre activity") for people with dementia in which theatrical stimuli are used in combination with proven emotion-oriented care methods. The aim of this exploratory study was to evaluate the added value of the Veder method group ...

Realistic information about a situation into which new organizational members were about to enter was presented to the new members after they had decided to join the organization, but before they reported to the organization. When compared to a control group which received no such information, the experimental group showed significantly lower turnover. The results are discussed in reference to ...

Pride groups, or “groups given by presentations in which each defining relator involves at most two types of generators”, include Coxeter groups, Artin groups, triangles of groups, and Vinberg’s groups defined by periodic paired relations. We show that every non-spherical Pride group that is not a triangle of groups satisfies the Tits alternative.

For the past few decades, researchers have been evaluating the effects of self-help/mutual aid groups on participants. Most research studies of self-help groups have found important benefits of participation. Unfortunately, few of these studies have gotten into the hands of self-help group members, clearinghouse staff and others who wish to advocate for selfhelp/mutual aid. The purpose of this ...

This report presents statistics on the utilization of non-Federal short-stay hospitals by diagnosis-related groups (DRG’s) based on data collected through the National Hospital Discharge Survey. Estimates are provided for patients under 65 years of age and for patients 65 years of age and older on the frequency and average length of stay for each DRG from 1980 through 1984. These statistics are...