Poldirektni produkt grup

diplomsko delo

Luka Turk (Author), Dušan Pagon (Mentor)

Abstract

V diplomskem delu obravnavamo poldirektni produkt grup, ki je posplošitev direktnega produkta. Poldirektni produkt omogoča konstrukcije precej večjega nabora grup. Pokažemo razliko med direktnim in poldirektnim produktom grup in poiščemo kriterij, kdaj je dana grupa poldirektni produkt grup. Pokažemo tudi primere uporabe poldirektnega produkta grup in primitivnih korenov po modulu p na grupah reda pq, kjer je p praštevilo, q pa deli p-1.

Keywords

diplomska dela;grupe;podgrupe;direktni produkt grup;poldirektni produkt grup;

Data

Language:	Slovenian
Year of publishing:	2016
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[L. Turk]
UDC:	512.54(043.2)
COBISS:	22725640
Views:	1025
Downloads:	98
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Semidirect product of groups
Secondary abstract:	In the thesis a semidirect product of groups is discussed as a generalization of the direct product. The semidirect product allows us to construct a wider variety of groups. We demonstrate the differences between both products and give a criteria for a group to be a semidirect product of two its subgroups. We also show examples of the use of semidirect product of groups and prime roots modulo p for the classification of all groups of order pq, where p is a prime and q divides p-1.
Secondary keywords:	theses;groups;subgroups;direct product of groups;semidirect product of groups;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	IX, 43 f.
ID:	9164760