Computing presentations for finite soluble groups

dc.contributor.authorNiemeyer, Alice C
dc.date.accessioned2017-11-06T01:04:59Z
dc.date.available2017-11-06T01:04:59Z
dc.date.copyright1993
dc.date.issued1993
dc.date.updated2017-10-17T00:55:26Z
dc.description.abstractThe 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.extentv, 90 leaves
dc.identifier.otherb1856796
dc.identifier.urihttp://hdl.handle.net/1885/133191
dc.language.isoenen_AU
dc.subject.lcshSolvable groups Data processing
dc.subject.lcshFinite groups Data processing
dc.subject.lcshCombinatorial group theory Data processing
dc.titleComputing presentations for finite soluble groupsen_AU
dc.typeThesis (PhD)en_AU
dcterms.valid1993en_AU
local.contributor.affiliationThe Australian National Universityen_AU
local.contributor.supervisorNewman, M .F.
local.description.notesThesis (Ph.D.)--Australian National University, 1993. This thesis has been made available through exception 200AB to the Copyright Act.en_AU
local.identifier.doi10.25911/5d723bf24f10e
local.mintdoimint
local.type.degreeDoctor of Philosophy (PhD)en_AU

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