Title

Products of normal locally supersoluble subgroups

Date of Publication

2015

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Adviser

Edmundo J. Perez

Abstract/Summary

Classes of groups are not necessarily closed under forming products. That is, if a group G that is the product of H and K, where H and K are normal locally supersoluble subgroups of G, then G need not be locally supersoluble. This paper determines suffcient conditions for H so that G would be locally supersoluble and further identifies classes of groups that satisfy these conditions: periodic locally soluble CC-groups that are PST-groups, radical hyper nite AP-groups, and periodic radical PT-group satisfying min-p for all primes p.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTG006595

Shelf Location

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

Physical Description

1 computer optical disc; 4 3/4 in

Keywords

Solvable groups

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