In 1970 Bernd Fischer proved his beautiful theorem classifying the
almost simple groups generated by 3-transpositions, and in the
process discovered three new sporadic groups, now known as the
Fischer groups. Since then, the theory of 3-transposition groups
has become an important part of finite simple group theory, but
Fischer's work has remained unpublished. 3-Transposition Groups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. Thus Part I 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 and are a step in
the author's program to supply a strong foundation for the theory
of sporadic groups.
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