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Reprint of the original, first published in 1874.
First published in 1996. Always there are hills in the distance, backed by mountains, wreathed in mist, and always the sound of water. These are the things that have inspired the Korea’s poets and artists and haunt the dreams of its exiles. An eastern backbone of sharp mountains has ribs that run westward and from these wooded hills flow the water that trickles through the rice fields. Climatic maps show it to be at the centre of a small area that is almost unique in its combination of cold dry winters and hot rainy summers. Most of its plants and animals are common to the temperate zone of the Northern Hemisphere but they are tested almost to destruction by seasonal alternations of Siberian cold and summer monsoons. In May the brown desert of winter begins to shimmer in a delicate veil of green which grows into a summer jungle and dies with glory in a long warm autumn of red and gold. About 600 miles in length and 150-200 miles wide, it reaches out from the mainland like an oriental Italy, with China embracing it to the north and west and Japan only 100 miles away to the south and east. This book illuminates the reader about the history of Korea.
Let p p be a prime and S S a finite p p-group. A p p-fusion system on S S is a category whose objects are the subgroups of S and whose morphisms are certain injective group homomorphisms. Fusion systems are of interest in modular representation theory, algebraic topology, and local finite group theory. The book provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program. The first part of the program aims to determine a large subclass of the class of simple 2-fusion systems, while part two seeks to use the result on fusion systems to simplify the proof of the theorem classifying the finite simple groups.
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