The Classification of the Finite Simple Groups, Number 5

The fifth volume of the study proves two, and part of the third, of the planned five stages for the generic cast of the classification of finite simple groups. The main result is that either G has a p -uniqueness subgroup for some prime p , or that G has a neighborhood of semisimple subgroups that demonstrate certain properties in common with those in target simple groups G* . All this is preparation for the final stages, which are expected to deduce that G is about the same as G* for some known simple G* . Stay tuned. Perhaps an index will be deemed meet when the final answers are revealed. Annotation c. Book News, Inc., Portland, OR (booknews.com)