Ethics Essay Example | Topics and Well Written Essays - 500 words - 50

Ethics - Essay Example One of the common unethical practices in retailing is lack of honesty. Lack of honesty is unethical because when a business man or woman fails to be honest to his/her employees and customers, it will highly affect their trust. Most clients like to trust the people who give them the products they need, and when a retailer fails to be honest, most of them tend to run away from the retailer (Robinson, 2009). Most customers question the ethics of their retailers and, therefore, it is vital for the retailers to be honest to their customers. Dishonesty is an unethical practice in retailing and it comes with consequences. First of all, lack of honesty in a business can lead to the loss of customers. For instance, many customers will run away from a dishonest retailer because they cannot trust him/her anymore. In addition, it can affect the business’ economic stability especially when customers are gone because of lack of honesty. Unethical sales practices such as dishonesty can also cost the employees and the community at large. Most employees will always leave after they realize the management of the employers are not honest with their clients. Employees will be happy if the employer is honest with them because retail business plays a vital role in the lives of the people in the community. Dishonesty in retailing can lead to legal consequences and possible lawsuits. Whysall (2009) highlights a case where a customer was sold a counterfeit electronic product. The retailer had stocked counterfeit Sony items intentionally. Upon realization, the customer filed a law suit that he was deceived prior to the transaction (Whysall, 2000). In the legal proceedings, the retailer was found for guilty for malpractice and counterfeiting. The retailer’s permit to operate was revoked. In addition, the customer was compensated in full for the money spent

Reflection Groups in Geometry Essay Example | Topics and Well Written Essays - 4000 words

Reflection Groups in Geometry - Essay Example A reflection group is a distinct group produced by multiple reflections of a finite-dimensional (Euclidean) space. Weyl groups of simple Lie algebras and symmetry groups of regular polytypes are examples of finite reflection groups while infinite groups comprise the Weyl groups of infinite-dimensional Kac–Moody algebras and the triangle groups similar to ordinary tessellations of the hyperbolic plane and Euclidean plane. With regard to symmetry, discrete isometry groups of broad Riemannian manifolds that are formed by reflections are grouped into classes leading to hyperbolic reflection groups (corresponding to hyperbolic space), affine (corresponding to Euclidean space) and finite reflection groups (then-sphere). Coxeter groups are reflection groups that are finitely generated. Unlike reflection groups, Coxeter groups are abstract groups that have a certain structure generated by reflections. An investigation of the topology and geometry of reflection groups will help us comp rehend the theoretic properties of the group. The concept of reflection in a Euclidean space and the hypothesis of discrete groups of motions resulting from reflections has its origin in the study of space polyhedral and plane regular polygons that goes back to early mathematics. In the present day, reflection groups are common in many areas of mathematical research, and geometers encounter them as special convex polytopes or discrete groups of isometries of Riemannian spaces with even curvature. On the other hand, an algebraist encounters reflection groups in group theory, particularly in the representation theory, Coxeter groups and invariant theory. Other areas of mathematics where they may be encountered include the theory of arrangements of hyperplanes, a theory of combinations and permutation, a theory of modular forms and quadratic forms, low-dimensional topology, singularity theory, and the theory of hyperbolic real and complex manifolds (Yau 1986).  Ã‚