izpis_h1_title_alt

Poldirektni produkt grup : diplomsko delo
ID Žnidarič, Lucija (Author), ID Šparl, Primož (Mentor) More about this mentor... This link opens in a new window

URLURL - Presentation file, Visit http://pefprints.pef.uni-lj.si/2580/ This link opens in a new window

Abstract
V diplomskem delu obravnavamo konstrukcijo grup, imenovano poldirektni produkt grup. Gre za posplošitev direktnega produkta, ki omogoča konstrukcije precej večjega nabora grup. Poiščemo kriterij, kdaj je dana grupa poldirektni produkt grup, in prikažemo razliko med direktnim in poldirektnim produktom. Ogledamo si konkretne zglede poldirektnih produktov grup, osredotočimo se predvsem na poldirektne produkte cikličnih grup. Pokažemo tudi, da se poldirektni produkti pojavljajo kot grupe simetrij kombinatoričnih objektov, kot so grafi in da je lahko dana grupa izomorfna večim poldirektnim produktom.

Language:Slovenian
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:PEF - Faculty of Education
Publisher:[L: Žnidarič]
Year:2014
Number of pages:34 str.
PID:20.500.12556/RUL-69217 This link opens in a new window
UDC:512(043.2)
COBISS.SI-ID:10255689 This link opens in a new window
Publication date in RUL:10.07.2015
Views:1487
Downloads:266
Metadata:XML DC-XML DC-RDF
:
Copy citation
Share:Bookmark and Share

Secondary language

Language:English
Title:Semidirect product of groups
Abstract:
In this BSc thesis we consider a construction of groups called semidirect product, which is a generalization of direct products. Semidirect products provide a much larger collection of groups than direct products. We find a criterion, which enables us to determine whether a group is isomorphic to a semidirect product and discuss the difference between direct and semidirect products. We construct various examples of semidirect products and in particular semidirect products of cyclic groups. We exemplify that semidirect group products also take a role as symmetry groups of combinatorial objects such as graphs.


Similar documents

Similar works from RUL:
Similar works from other Slovenian collections:

Back