20.500.12556/DKUM-62479 Poldirektni produkt grup Semidirect product of groups 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. 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. grupa podgrupa direktni produkt grup poldirektni produkt grup group subgrup direct product of groups semidirect product of groups true true false [L. Turk] Slovenski jezik Angleški jezik Diplomsko delo 2016-08-28 19:21:08 2016-11-11 15:03:17 2022-06-29 03:08:37 2019-07-11 12:57:00 2016 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.54(043.2) 22725640 URN:SI:UM:DK:P38ECXT8 UN_Turk_Luka_2016.pdf UN_Turk_Luka_2016.pdf 1 092D7A9E9BAC841FC81348124573B0EB baa83d64a15f9b8e04c991135ee5dc1d82333ca7c3dc2a6df3e372e0b616952e 27826eeb-7c0d-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=100518 Fakulteta za naravoslovje in matematiko 0 0 0