Outer automorphism groups of certain polygonal products of groups
Bull. Korean Math. Soc. 2008 Vol. 45, No. 1, 45-52 Printed March 1, 2008
Goansu Kim Yeungnam University
Abstract : We show that certain polygonal products of any four groups, amalgamating central subgroups with trivial intersections, have Property E. Using this result, we derive that outer automorphism groups of polygonal products of four polycyclic-by-finite groups, amalgamating central subgroups with trivial intersections, are residually finite.
Keywords : polygonal products of groups, generalized free products, residually finite, conjugacy separable, outer automorphism groups