Date of Publication

2007

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Edmundo R. Perez, Jr.

Defense Panel Chair

Leonor A. Ruivivar

Defense Panel Member

Yvette F. Lim
Bladimir C. Ocampo

Abstract/Summary

This thesis is an expository work of the article of Dr. Edmundo R. Perez Jr. entitled, A Generalization of T-groups. A class of locally supersoluble groups called the soluble hall-T groups is identified. Basic examples of hall-T groups are nilpotent and T-groups. However, hall-T groups are not necessarily nilpotent or T-groups. The secondary result of this exposition states that the product of a normal soluble T-subgroup and a subnormal locally supersoluble subgroup is locally supersoluble. The main result states that the product of a normal soluble hall-T subgroup and a subnormal locally supersoluble subgroup is locally supersoluble.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTG004125

Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

viii, 95 leaves, 28 cm. ; Typescript

Keywords

T-Groups; Finite groups; Group relations training; Group theory

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