If p is a prime number, the poset of all nontrivial elementary abelian p subgroups of a finite group plays an important role in both group theory and representation theory. It was studied by Quillen [Qu], who proved among many other things that it is homotopy equivalent to the poset of all nontrivial p-subgroups. In the case of a p -group P , one might believe that this poset has no interest si...

We consider a variant of the generalized assignment problem (GAP) where the amount of space used in each bin is restricted to be either zero (if the bin is not opened) or above a given lower bound (aminimum quantity). We provide several complexity results for different versions of the problem and give polynomial time exact algorithms and approximation algorithms for restricted cases. For the mo...

in this paper, we obtain the general solution and the generalized  hyers--ulam--rassias stability in random normed spaces, in non-archimedean spacesand also in $p$-banach spaces and finally the stability viafixed point method for a functional equationbegin{align*}&d_f(x_{1},.., x_{m}):= sum^{m}_{k=2}(sum^{k}_{i_{1}=2}sum^{k+1}_{i_{2}=i_{1}+1}... sum^{m}_{i_{m-k+1}=i_{m-k}+1}) f(sum^{m}_{i=1...

for a finite group $g$‎, ‎we study the total character $tau_g$‎ ‎afforded by the direct sum of all the non-isomorphic irreducible‎ ‎complex representations of $g$‎. ‎we resolve for several classes of‎ ‎groups (the camina $p$-groups‎, ‎the generalized camina $p$-groups‎, ‎the groups which admit $(g,z(g))$ as a generalized camina pair)‎, ‎the problem of existence of a‎ ‎polynomial $f(x) in mathbb...

PURPOSE To identify the prevalence, clinical characteristics and routine EEG features of the syndrome of eyelid myoclonia with absences (EMA) using a retrospective case control study design. METHODS EEGs from 1996 to 2005 were searched using the following keywords: eyelid flutter, eyelid blinking, tics, idiopathic generalized epilepsy, clinical absence, atypical absence and photoparoxysmal re...

Generalized linear models (GLMs) allow for a wide range of statistical models for regression data. In particular, the logistic model is usually applied for binomial observations. Canonical links for GLM's such as the logit link in the binomial case, are often used because in this case minimal suucient statistics for the regression parameter exist which allow for simple interpretation of the res...