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About The Book
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This book is the first volume in a two-volume set which will provide the complete proof of classification of two important classes of geometries closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups including the fam