Date of Publication
Master of Science in Mathematics
College of Science
Mathematics and Statistics Department
Edmundo D. Perez, Jr.
Defense Panel Chair
Rafael Reno S. Cantuba
Defense Panel Member
Ederlina G. Nocon
A group G is said to be a Hall cyclic-by-abelian or an HCA-group if G con- tains a normal nilpotent subgroup N such that G/N0 is cyclic-by-abelian. It was also established that if G = HK where H and K are normal hypercyclic groups, then G is not necessarily hypercyclic. This paper determines suffi- cient conditions for H and K so that G = HK is hypercyclic and identifies classes of groups that would satisfy the given conditions: abelian groups, nilpotent groups, cyclic-by-abelian groups and HCA-groups. Some results about the product of finite HCA-groups are also given.
Keywords: HCA-groups, hypercyclic groups, nilpotent groups, cyclic-by-abelian groups,
Nilpotent groups; Abelian groups
Upload Full Text
Medenilla, M. (2020). Hypercyclic products of HCA-groups. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/5957