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Title:Poldirektni produkt grup
Authors:ID Turk, Luka (Author)
ID Pagon, Dušan (Mentor) More about this mentor... New window
Files:.pdf UN_Turk_Luka_2016.pdf (384,19 KB)
MD5: 092D7A9E9BAC841FC81348124573B0EB
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
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:grupa, podgrupa, direktni produkt grup, poldirektni produkt grup
Place of publishing:Maribor
Publisher:[L. Turk]
Year of publishing:2016
PID:20.500.12556/DKUM-62479 New window
UDC:512.54(043.2)
COBISS.SI-ID:22725640 New window
NUK URN:URN:SI:UM:DK:P38ECXT8
Publication date in DKUM:11.11.2016
Views:1849
Downloads:141
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:Semidirect product of groups
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.
Keywords:group, subgrup, direct product of groups, semidirect product of groups


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