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
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 sufficient 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 hyperfinite 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
Recommended Citation
Reyes, A. S. (2015). Products of normal locally supersoluble subgroups. Retrieved from https://animorepository.dlsu.edu.ph/etd_doctoral/449
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