A = 



SLOCUM. — FINITE CONTINUOUS GROUPS. 109 



• • 



V— (« 2 i + ""2 + «" 3 ) — V— (a\ + « 2 2 + « 2 s) 



and this vanishes if the as satisfy the condition a\ + a" 2 2 + a 2 3 = 4 &" 2 7r 2 , 

 where £ is an arbitrary integer. The adjoined of this group is 



9 3 3 9 9 9 



#1 ~ a 3 « ' °3 « °2 ^ > °2 « °1 « j 



5 « 3 cy «! c «2 » a 3 cy ax c> ct 2 



and is discontinuous. Consequently, every group of this type is discon- 

 tinuous. 



In the table on pages 391-397, Vol. XXXV., of These Proceedings, 

 as mentioned above, I have marked by an asterisk those types of 

 structure for which all real groups are continuous ; and by a dagger 

 those types of structure for which I have found at least one real group 

 that is discontinuous. 



