Soluble groups in which every finitely generated subgroup is finitely presented

Abstract

Abstract The class of finitely generated soluble coherent groups is considered. It is shown that these groups have the maximal condition on normal subgroups and can be characterized in a number of ways. In particular, they are precisely the class of finitely generated soluble groups G with the property: Subject classification ( Amer. Math. Soc. ( MOS ) 1970 ): primary 20 E 15; secondary 20 F 05.