TABKR. — RKAL LINEAR TRANSFORMATIONS, 83 



auil this transformation of group (7, if the roots of the characteristic 

 equation of jf are not both of the same sign, is not the second power 

 of any transformation of group G, and therefore cannot be generated 

 by the repetition of an infinitesimal transformation of this group. Since 

 the numbers belonging to —I are all even, the transformation defined 

 by the above equations can be generated by the repetition of an infini- 

 tesimal transformation of group (5, 



Jl-ly 28. 1896. 



