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Finite Abelian Groups and their Characters
Matija Klarić (2015)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document...

Klarić, M. (2015). Karakteri konačnih Abelovih grupa (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:803794

Klarić, Matija. "Karakteri konačnih Abelovih grupa." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2015. https://urn.nsk.hr/urn:nbn:hr:126:803794

Klarić, Matija. "Karakteri konačnih Abelovih grupa." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2015. https://urn.nsk.hr/urn:nbn:hr:126:803794

Klarić, M. (2015). 'Karakteri konačnih Abelovih grupa', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 20 February 2019, https://urn.nsk.hr/urn:nbn:hr:126:803794

Klarić M. Karakteri konačnih Abelovih grupa [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2015 [cited 2019 February 20] Available at: https://urn.nsk.hr/urn:nbn:hr:126:803794

M. Klarić, "Karakteri konačnih Abelovih grupa", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:126:803794

Metadata
TitleKarakteri konačnih Abelovih grupa
AuthorMatija Klarić
Mentor(s)Ivan Matić (thesis advisor)
Abstract
U ovom radu proučavat ćemo konačne Abelove grupe i posebnu vrstu aritmetičkih funkcija, takozvane Dirichletove karaktere. Dirichletovi karakteri mogu se proučavati i bez poznavanja elementarne teorije grupa, no već minimalna količina ove teorije pojednostavit će raspravu i smjestiti ih u prirodnije okruženje. Poznavanje Dirichletovih karaktera nužno je za razumijevanje Dirichletovog teorema o prostim brojevima u aritmetičkim nizovima.
Keywordsgroup Abelian group nite group group order subgroup characters orthogonality reduced residue system Dirichlet characters
Parallel title (English)Finite Abelian Groups and their Characters
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Lower level organizational unitsChair of Pure Mathematics
Algebra and Calculus Research Group
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Algebra
Study programme typeuniversity
Study levelundergraduate
Study programmeUniversity undergraduate study programme in mathematics
Academic title abbreviationuniv.bacc.math.
Genreundergraduate thesis
Language Croatian
Defense date2015-09-30
Parallel abstract (English)
This paper studies finite Abelian groups and certain arithmetical functions called Dirichlet characters. Although the study of Dirichlet characters can be undertaken without any knowledge of groups, the introduction of a minimal amount of group theory places the theory of Dirichlet characters in a more natural setting and simplies some of the discussion. The knowledge of Dirichlet characters is required for discussion on Dirichlet's theorem on primes in arithmetical progressions.
Parallel keywords (Croatian)grupa Abelova grupa konačna grupa red grupe podgrupa karakteri ortogonalnost reducirani sustav ostataka Dirichletovi karakteri
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:803794