Let G be a finite group. We denote by Γ(G) the prime graph of G. Let S be a sporadic simple group. M. Hagie in (Hagie, M. (2003), The prime graph of a sporadic simple group, Comm. Algebra, 31: 44054424) determined finite groups G satisfying Γ(G) = Γ(S). In this paper we determine finite groups G such that Γ(G) = Γ(A) where A is an almost sporadic simple group, except Aut(McL) and Aut(J2).

In this paper we study the asymptotic behaviour via Γ-convergence of some integral functionals Fε which model some multi-dimensional structures and depend explicitly on the linearized strain tensor. The functionals Fε are defined in particular classes of functions with bounded deformation while the limit problem is set in the usual framework of Sobolev spaces or BD(Ω). We also construct an exam...

We study homogenization by Γ-convergence of functionals of type Z Ω W “ x ε ,∇φ(x) ” dx, where Ω ⊂ RN is a bounded open set, φ ∈ W 1,p(Ω; Rm) and p > 1, when the 1-periodic integrand W : RN ×Mm×N → [0, +∞] is not of p-polynomial growth. Our homogenization technique can be applied when m = N and W has a singular behavior of type W (x, ξ) → +∞ as detξ → 0. However, our technique is not consistent...

We study homogenization by Γ-convergence, with respect to the L1-strong convergence, of periodic multiple integrals in W 1,∞ when the integrand can take infinite values outside of a convex bounded open set of matrices.

Let Γ be a simple graph of size m and degree sequence δ1 ≥ δ2 ≥ · · · ≥ δn. Let L(Γ) denotes the line graph of Γ. The aim of this paper is to study mathematical properties of the alliance number, a(L(Γ), and the global alliance number, γa(L(Γ)), of the line graph of a simple graph. We show that ⌈

We study pseudo-simple heteroclinic cycles for a Γ-equivariant system in R4 withfinite Γ ⊂ O(4), and their nearby dynamics. In particular, in a first step towardsa full classification – analogous to that which exists already for the class of simplecycles – we identify all finite subgroups of O(4) admitting pseudo-simple cycles. Tothis end we introduce a constructive method t...

nano-sized γ-al2o3 was synthesized successfully by a simple method using al2(so4)3·18h2o as aluminium source and in the presence of polyethylene glycol (peg 2000). ftir spectroscopy, x-ray diffraction (xrd), scanning electron microscope (sem) and transmission electron microscope (tem) were used to characterize the structure and morphology of synthesized powder. the results showed that peg playe...

Nano-sized γ-Al2O3 was synthesized successfully by a simple method using Al2(SO4)3·18H2O as aluminium source and in the presence of polyethylene glycol (PEG 2000). FTIR spectroscopy, X-ray diffraction (XRD), scanning electron microscope (SEM) and transmission electron microscope (TEM) were used to characterize the structure and morphology of synthesized powder. The results showed that PEG playe...

Nano-sized γ-Al2O3 was synthesized successfully by a simple method using Al2(SO4)3·18H2O as aluminium source and in the presence of polyethylene glycol (PEG 2000). FTIR spectroscopy, X-ray diffraction (XRD), scanning electron microscope (SEM) and transmission electron microscope (TEM) were used to characterize the structure and morphology of synthesized powder. The results showed that PEG playe...