Date of Publication

9-2020

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Adviser

Edmundo D. Perez, Jr.

Defense Panel Chair

Rafael Reno S. Cantuba

Defense Panel Member

Ederlina G. Nocon
Allan Reyes

Abstract/Summary

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,

Abstract Format

html

Language

English

Format

Electronic

Physical Description

33 leaves

Keywords

Nilpotent groups; Abelian groups

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Embargo Period

5-4-2022

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