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undergraduate thesis
Algebarska struktura grupa
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:279155
Galiot, Nataša
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Galiot, N. (2017). Algebarska struktura grupa (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:279155

Galiot, Nataša. "Algebarska struktura grupa." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:279155

Galiot, Nataša. "Algebarska struktura grupa." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:279155

Galiot, N. (2017). 'Algebarska struktura grupa', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:279155

Galiot N. Algebarska struktura grupa [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:279155

N. Galiot, "Algebarska struktura grupa", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:279155

Metadata
TitleAlgebarska struktura grupa
Title (english)Algebraic Structure Group
AuthorNataša Galiot
MentorIvan Matić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2017-09-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom radu pisat ćemo o algebarskoj strukturi grupa. U uvodu ćemo navesti deniciju grupe, njezina osnovna svojstva te pojmove poput Abelova grupa, podgrupa, homomorzam i izomorzam grupa. Nadalje, u drugom dijelu opisat ćemo nekoliko različitih vrsta grupa počevši s normalnim i kvocijentnim grupama u sklopu kojih ćemo iskazati i dokazati Lagrangeov teorem i prvi teorem o izomorzmu. Sljedeće ćemo opisati cikličke i na kraju p-grupe uz koje vežemo i pojam Sylowljevih p-grupa, Cauchyjev teorem te tri Sylovljeva teorema.
Abstract (english)
In this term paper we will write about algebraic structure group. In Introduction we will cite the denition of a group, it's elementary characteristics and terms as Abelian group, subgroup, homomorsm and isomorsm of group. Furthermore, in second part we'll describe few dierent type of groups starting with normal and quotient/factor groups within which we will state and prove Lagrange's theorem and rst theorem of isomorsm. Next we will describe cyclic and at the end p-groups with which we associate the term of Sylow-s p-groups, Cauchy's theorem and three Sylow's theorems.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:279155
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2017-10-06 06:53:46