Abstract We show that the color N dependent area law falloffs of double-winding Wilson loop averages for SU(N) lattice gauge theory obtained in preceding works are reproduced from corresponding Abelian with center group ZN . This result indicates dominance quark confinement.

In this paper, we show that the center of every Coxeter group is finite and isomorphic to (Z2) n for some n ≥ 0. Moreover, for a Coxeter system (W, S), we prove that Z(W ) = Z(W S\S̃) and Z(W S̃ ) = 1, where Z(W ) is the center of the Coxeter group W and S̃ is the subset of S such that the parabolic subgroup W S̃ is the essential parabolic subgroup of (W, S) (i.e. W S̃ is the minimum parabolic subgr...

Compact Lie groups appear frequently in algebraic topology, but they are relatively rigid analytic objects, and partially for that reason are a challenge to understand homotopically. Since H. Hopf (and H-spaces) topologists have aspired to escape the analytic straitjacket by finding some homotopy theoretic concept which would capture enough of the idea of “compact Lie group” to lead to rich and...

a survey of mottled enamel in a military educational center in karaj area of metropolitan tehran was conducted from august to september 1978, on a population of 1789 student, aged 18-23 gathered from 32 areas of iran. dean clinical standards used for diagnosing dental fluorsis and orion lonalyzer fluoride electrode was used to determine the fluoride content of communal waters of endemic areas. ...

the decomposition $gamma=bh$ of a group $gamma$ into a subset $b$ and a subgroup $h$ of $gamma$ induces, under general conditions, a group-like structure for $b$, known as a gyrogroup. the famous concrete realization of a gyrogroup, which motivated the emergence of gyrogroups into the mainstream, is the space of all relativistically admissible velocities along with a binary operation given by t...