in this paper we show that if q is a power of a prime p , then the projective special linear group psl(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group pgl(2, q) for q odd and even respectively

abstractin the present study, attempt has been made to examine the effectiveness of peer and teacher scaffolding in reading comprehension of intermediate efl students in symmetrical and asymmetrical groups. to do so, sixty intermediate students were purposively selected out of 150 intermediate students in hamadan islamic azad university and kish language institute in hamadan. they were divided ...

Given a set S, we deene Galois connections between the lattice of fuzzy subgroups of transformations in S, the lattice of the similarities in S and the lattice of the distances in S.

The original Novikov conjecture concerns the (oriented) homotopy invariance of higher signatures of manifolds and is equivalent to the rational injectivity of the assembly map in surgery theory. The integral injectivity of the assembly map is important for other purposes and is called the integral Novikov conjecture. There are also assembly maps in other theories and hence related Novikov and i...

Cross-inhibition by quorum-sensing pheromones between Staphylococcus aureus and Staphylococcus epidermidis was investigated using all known S. aureus agr pheromone subgroups. All S. aureus subgroups were sensitive towards the S. epidermidis pheromone, with the exception of the recently identified subgroup 4. The subgroup 4 pheromone was also the only S. aureus pheromone able to inhibit the S. e...

Using s-norm S, we introduce the notion of sensible fuzzy R-subgroups in near-rings, and some related properties are investigated. Mathematics Subject Classification: 06F35, 03G25, 03E72.

We consider the extended Hecke groupsH(λp) generated by T (z) = −1/z, S(z) = −1/(z+λp) and R(z) = 1/ z̄ with λp = 2 cos(π/p) for p ≥ 3 prime number. In this article, we study the abstract group structure of the extended Hecke groups and the power subgroups H m (λp) of H(λp). Then, we give the relations between commutator subgroups and power subgroups and also the information of interest about fr...

For any field K, we determine the quasi-simple subgroups G of the Chevalley group F4ðKÞ which are generated by a class S of so-called abstract transvection subgroups of G such that any member of S is contained in a long root subgroup of F4ðKÞ. First, we construct a polar space with point set S, which is embedded in the F4-geometry. This yields that a conjugate of G is contained in a classical s...

BACKGROUND The West-Haven Multidimensional Pain Inventory (MPI) can be used to describe behavioural and psychosocial consequences of long-term pain but little is known about how MPI items and MPI subgroups relate to goals that patients find important in rehabilitation. Life satisfaction measured by the LiSat-11 checklist can be defined as an individual's perception of the difference between his...

S. Gersten announced an algorithm that takes as input two finite sequences K →=(K 1 ,⋯,K N ) and ′ of conjugacy classes finitely generated subgroups F n outputs: