The primitive groups of odd order of degree less than 100 having been determined by Burnside, the author extends this determination from degree 100 to degree 243. From this results that all groups arrived at are solvable, so no simple group of odd composite order can occur as a substitution group of degree less than 243. The first part of the memoir contains a number of theorems, most of which apply to primitive groups, whether the order is even or odd, but some use can be made of nearly all of them in determining all the ...
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The primitive groups of odd order of degree less than 100 having been determined by Burnside, the author extends this determination from degree 100 to degree 243. From this results that all groups arrived at are solvable, so no simple group of odd composite order can occur as a substitution group of degree less than 243. The first part of the memoir contains a number of theorems, most of which apply to primitive groups, whether the order is even or odd, but some use can be made of nearly all of them in determining all the primitive groups of odd order of a given degree. The second part contains the determination of the primitive groups of odd order, whose degrees lie between the indicated limits (p. 1-30). -"Revue Semestrielle Des Publications Mathematiques," Vol. 11 [1903]
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