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In this paper we study the centre of a simply connected analytic group. We present two structure theorems on the centres of such groups. We also study maximal tori and maximal compact subgroups of an analytic group, and as a result, we extend a theorem by Goto.doi:10.1017/s0004972700019882 fatcat:e3jzeolc3vbdndkzjmucywpdv4