Computing presentations for finite soluble groups
dc.contributor.author | Niemeyer, Alice C | |
dc.date.accessioned | 2017-11-06T01:04:59Z | |
dc.date.available | 2017-11-06T01:04:59Z | |
dc.date.copyright | 1993 | |
dc.date.issued | 1993 | |
dc.date.updated | 2017-10-17T00:55:26Z | |
dc.description.abstract | The work in this thesis was carried out in the area of computational group theory. The latter is concerned with designing algorithm s and developing their practical implementations for investigating problem s regarding groups. An important class of groups are finite soluble groups. These can be described in a computationally convenient way by power conjugate presentations. In practice, however, they are usually supplied differently. The aim of this thesis is to propose algorithm s for computing power conjugate presentations for finite soluble groups. This is achieved in two different ways. One of the ways in which a finite soluble group is often supplied is as a quotient of a finitely presented group. T he first p art of the thesis is concerned with designing an algorithm to compute a power conjugate presentation for a finite soluble group given in this way. T he theoretical background for the algorithm is provided and its practicality is investigated on an implementation. T he second p a rt of the thesis describes the theoretical aspects of an algorithm to compute all pow er conjugate presentations for a certain class of finite soluble groups of a given order. | en_AU |
dc.format.extent | v, 90 leaves | |
dc.identifier.other | b1856796 | |
dc.identifier.uri | http://hdl.handle.net/1885/133191 | |
dc.language.iso | en | en_AU |
dc.subject.lcsh | Solvable groups Data processing | |
dc.subject.lcsh | Finite groups Data processing | |
dc.subject.lcsh | Combinatorial group theory Data processing | |
dc.title | Computing presentations for finite soluble groups | en_AU |
dc.type | Thesis (PhD) | en_AU |
dcterms.valid | 1993 | en_AU |
local.contributor.affiliation | The Australian National University | en_AU |
local.contributor.supervisor | Newman, M .F. | |
local.description.notes | Thesis (Ph.D.)--Australian National University, 1993. This thesis has been made available through exception 200AB to the Copyright Act. | en_AU |
local.identifier.doi | 10.25911/5d723bf24f10e | |
local.mintdoi | mint | |
local.type.degree | Doctor of Philosophy (PhD) | en_AU |
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