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In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3transpositions, and in the process discovered three new sporadic groups, now known as the Fischer groups. Since then, the theory of 3transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place. Fischer's result, while important and deep (covering a number of complex examples), can be understood by any student with some knowledge of elementary group theory and finite geometry. Part I of this book has minimal prerequisites and could be used as a text for an intermediate level graduate course; parts II and III are aimed at specialists in finite groups.
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