Generalized Heineken--Mohamed type groups

Authors : Orest ARTEMOVYCH

Pages : 285-291

Doi:10.3906/mat-1408-1

View : 7 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We prove that a torsion group G with all subgroups subnormal is a nilpotent group or G=Ninsert ignore into journalissuearticles values(A1 \times \cdots \times An); is a product of a normal nilpotent subgroup N and pi-subgroups Ai, where Ai=A1insert ignore into journalissuearticles values(i); \cdots Amiinsert ignore into journalissuearticles values(i); \lhd G, Ajinsert ignore into journalissuearticles values(i); is a Heineken--Mohamed type group, and p1, \ldots, pn are pairwise distinct primes insert ignore into journalissuearticles values(n\geq 1; i=1, ... ,n; j=1, ... ,mi and mi are positive integers);.
Keywords : Nilpotent group, indecomposable group, Heineken Mohamed type group