Abstract If p and q are primes, G is a -solvable finite group, it possible to detect that -Sylow normalizer contained in using the character table of . This characterized terms degrees -Brauer characters. Some consequences, which include yet another generalization Itô–Michler theorem, also obtained.

Let R be a commutative ring with 1, n a natural number, and let l = [n/2]. Suppose that 2 ∈ R∗ and l ≥ 3. We describe the subgroups of the general linear group GL(n,R) that contain the elementary orthogonal group EO(n,R). The main result of the paper says that, for every intermediate subgroup H, there exists a largest ideal A R such that EEO(n,R,A) = EO(n,R)E(n,R,A) H. Another important result ...

Given a planar differential system with a first integral, we show how to find a normalizer. For systems with a center, we give an integral formula for the derivative of its period function. 0

1 Quaternions and the three-dimensional sphere 3 1.1 Hamiltion’s quaternions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 The Lie group S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2.1 The normalizer of Q8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.3 The exponential map for S . . . . . . . . . . . . . . . . ....

Let X be a non-degenerate left Banach module over a normed algebra A having a bounded approximate left identity. We show that, if A is a left ideal of a larger algebra, then this representation can be extended to a representation of the larger algebra. Based on this result, we study in detail the existence and properties of representations of the various centralizer algebras of A which are comp...

Multi-view face synthesis from a single image is an ill-posed problem and often suffers from serious appearance distortion. Producing photo-realistic and identity preserving multi-view results is still a not well defined synthesis problem. This paper proposes Load Balanced Generative Adversarial Networks (LB-GAN) to precisely rotate the yaw angle of an input face image to any specified angle. L...

in this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. furthermore,...

In this study, we characterize all circuits in the suborbital graph for the normalizer of Γ0(m) when m is a square-free positive integer. We propose a conjecture concerning the suborbital graphs. © 2004 Elsevier Ltd. All rights reserved. MSC: 46A40; 05C05; 20H10