Partial groups
In this thesis, we seek to extend some results of group theory to a new structure in algebra, called partial groups. Initially, we will prove a number of basic results of partial groups, introducing the elementary concepts of partial groups as abelian, nilpotent, homomorphism partial groups and Copr...
| Main Author: | |
|---|---|
| Published: |
University of Birmingham
2018
|
| Subjects: | |
| Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.768331 |
| id |
ndltd-bl.uk-oai-ethos.bl.uk-768331 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-bl.uk-oai-ethos.bl.uk-7683312019-04-03T06:34:57ZPartial groupsAssiry, Abdullah2018In this thesis, we seek to extend some results of group theory to a new structure in algebra, called partial groups. Initially, we will prove a number of basic results of partial groups, introducing the elementary concepts of partial groups as abelian, nilpotent, homomorphism partial groups and Coprime Action on partial groups and some other ideas. After that, we are going to prove some results of characteristic p members in partial groups. These results are two uniqueness theorems of characteristic p members and further uniqueness theorems in partial groups. The principle result of this work is an extension of the Solvable Signalizer Functor Theorem to partial groups.QA MathematicsUniversity of Birminghamhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.768331http://etheses.bham.ac.uk//id/eprint/8861/Electronic Thesis or Dissertation |
| collection |
NDLTD |
| sources |
NDLTD |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Assiry, Abdullah Partial groups |
| description |
In this thesis, we seek to extend some results of group theory to a new structure in algebra, called partial groups. Initially, we will prove a number of basic results of partial groups, introducing the elementary concepts of partial groups as abelian, nilpotent, homomorphism partial groups and Coprime Action on partial groups and some other ideas. After that, we are going to prove some results of characteristic p members in partial groups. These results are two uniqueness theorems of characteristic p members and further uniqueness theorems in partial groups. The principle result of this work is an extension of the Solvable Signalizer Functor Theorem to partial groups. |
| author |
Assiry, Abdullah |
| author_facet |
Assiry, Abdullah |
| author_sort |
Assiry, Abdullah |
| title |
Partial groups |
| title_short |
Partial groups |
| title_full |
Partial groups |
| title_fullStr |
Partial groups |
| title_full_unstemmed |
Partial groups |
| title_sort |
partial groups |
| publisher |
University of Birmingham |
| publishDate |
2018 |
| url |
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.768331 |
| work_keys_str_mv |
AT assiryabdullah partialgroups |
| _version_ |
1719013798287769600 |