Some deductions from the factorization of finite simple groups
| dc.contributor.author | Agigor-Mike, Precious Ugonwanyi | |
| dc.date.accessioned | 2026-03-25T12:25:21Z | |
| dc.date.available | 2026-03-25T12:25:21Z | |
| dc.date.issued | 2017-07 | |
| dc.description | This thesis is for the award of Master of Science (M.Sc.) in Pure Mathematics | |
| dc.description.abstract | This work looked into the factorization of minimal normal subgroups of innately transitive groups. It was shown that if , is a finite set of primes and if M is a non-abelian characteristically simple group with simple normal subgroups and ( * +) is a full factorization of M then (i) the pair ( * ( ) ( )+) forms -groups (ii) the subgroups ( ) and ( ) cannot have normal -complements in and that ( ) and ( ) are not - complements of each other. Again from the results of Baddeley and Praeger it showed that and are full diagonal subgroups of M. If and are self normalizing subgroups in M and not isomorphic to ( ) , ( ) , ( ), then and are maximal nilpotent subgroups of M. Further, and are conjugates and therefore solvable groups. It further showed that if G is a finite simple group with a transitive minimal normal subgroup M where M is characteristically simple and can be expressed as and if and are proper subgroups of M, then ( * +) is a full factorization such that for all , the pair ( * ( ) ( )+) is a full factorization and ( ) and ( ) are conjugates * +, ( ) * + and ( ) ( ) ( ) * + | |
| dc.identifier.citation | Agigor-Mike, P. U. (2017). Some deductions from the factorization of finite simple group [Unpublished Master's Thesis]. Federal University of Technology, Owerri, Nigeria | |
| dc.identifier.uri | https://repository.futo.edu.ng/handle/20.500.14562/2483 | |
| dc.language.iso | en | |
| dc.publisher | Federal University of Technology, Owerri | |
| dc.rights | Attribution-NonCommercial-ShareAlike 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.subject | Minimal normal subgroups | |
| dc.subject | finite simple groups | |
| dc.subject | centralizers | |
| dc.subject | normalizers | |
| dc.subject | Department of Mathematics | |
| dc.title | Some deductions from the factorization of finite simple groups | |
| dc.type | Master’s Thesis |