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By H. Lüneburg

Wir unterhielten uns einmal dariiber, daB guy sich in einer fremden Sprache nur unfrei ausdriicken kann und im Zweifelsfall lieber das sagt, was once guy richtig und einwandfrei zu sagen hofft, als das, was once guy eigentlich sagen will. Molnar nickte bestatigend: "Es ist sehr traurig", resiimierte er. "Ich habe oft mitten im Satz meine Weltanschauung andem miissen ..." Friedrich Torberg, Die Tante Jolesch The final twenty years have witnessed nice development within the thought of translation planes. Being attracted to, and having labored a bit in this topic, I felt the necessity to make clear for myself what have been taking place during this sector of arithmetic. therefore I lectured approximately it for numerous semesters and, while, I wrote what's now this publication. it really is my very own view of the tale, which means I chosen more often than not these subject matters I had touched upon in my very own investigations. hence finite translation planes are the most the~ of the e-book. endless translation planes, despite the fact that, usually are not thoroughly left out. As all thought goals on the learning of the examples, those play a valuable function during this publication. i think that this truth can be welcomed by way of many folks. even though, it's not a beginner's e-book of geometry. It presupposes ponder- capable wisdom of projective planes and algebra, specifically team idea. The books via Gorenstein, Hughes and Piper, Huppert, Passman, and Pickert pointed out within the bibliography may help to fill any gaps the reader can have.

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