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Title:RAZREDI KONJUGIRANIH ELEMENTOV V MODULARNIH MATRIČNIH GRUPAH
Authors:ID Pungartnik, Tadeja (Author)
ID Pagon, Dušan (Mentor) More about this mentor... New window
Files:.pdf UNI_Pungartnik_Tadeja_2013.pdf (212,45 KB)
MD5: 0A090A7207A654D5324FC88EE3FE29FF
PID: 20.500.12556/dkum/f5e56884-7874-4712-afc7-50528c795232
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu so predstavljene klasične matrične grupe nad končnimi polji. Osredotočimo se na splošne linearne grupe, posebne linearne grupe, ortogonalne grupe, posebne ortogonalne grupe in simplektične grupe. Izračunamo njihovo moč in to podkrepimo s primeri. Definiramo relacijo konjugiranosti v poljubni grupi in poiščemo predstavnike konjugiranih razredov omenjenih grup. Na koncu preverjamo še izomorfnost nekaterih klasičnih matričnih grup s podgrupami simetrične grupe in v vsakem primeru navedemo primer.
Keywords:matrične grupe, linearne grupe, ortogonalne grupe, simplektične grupe, konjugirani razredi, simetrične grupe
Place of publishing:Maribor
Publisher:[T. Pungartnik]
Year of publishing:2013
PID:20.500.12556/DKUM-39866 New window
UDC:51(043.2)
COBISS.SI-ID:19770632 New window
NUK URN:URN:SI:UM:DK:HXZOAGT6
Publication date in DKUM:27.03.2013
Views:2063
Downloads:177
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:THE CONJUGACY CLASSES IN MODULAR MATRIX GROUPS
Abstract:In the following thesis we present classical matrix groups over finite fields. The emphasis is on the general linear groups, special linear groups, orthogonal groups, special orthogonal groups, and symplectic groups. We calculate their power and confirm it through example. We also define a relation of conjugation in a group and find the representatives of conjugate classes of previously mentioned groups. In the last part of the thesis, we check if some of the classical matrix groups and subgroups of simetric group are isomorphic, and show the examples.
Keywords:matrix groups, linear group, orthogonal groups, symplectic groups, conjugacy classes, simetric groups


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