8,685 research outputs found
Automatic Quotients of Free Groups
Automatic groups admitting prefix closed automatic structures with uniqueness
are characterized as the quotients of free groups by normal subgroups
possessing sets of free generators satisfying certain language-theoretic
conditions.Comment: 14 pages, no figures. Minor corrections. Statements of theorems and
lemmas are unchange
Rocketdyne's advanced coal slurry pumping program
The Rocketdyne Division of Rockwell International Corporation is conducting a program for the engineering, fabrication, and testing of an experimental/prototype high-capacity, high-pressure centrifugal slurry feed pump for coal liquefaction purposes. The abrasion problems in a centrifugal slurry pump are primarily due to the manner in which the hard, solid particles contained in the slurry are transported through the hydraulic flow passages within the pump. The abrasive particles can create scraping, grinding, cutting, and sandblasting effects on the various exposed parts of the pump. These critical areas involving abrasion and impact erosion wear problems in a centrifugal pump are being addressed by Rocketdyne. The mechanisms of abrasion and erosion are being studied through hydrodynamic analysis, materials evaluation, and advanced design concepts
Groups whose word problems are not semilinear
Suppose that G is a finitely generated group and W is the formal language of
words defining the identity in G. We prove that if G is a nilpotent group, the
fundamental group of a finite volume hyperbolic three-manifold, or a
right-angled Artin group whose graph lies in a certain infinite class, then W
is not a multiple context free language
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