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undergraduate thesis
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Algebraic Structure Group
Nataša Galiot (2017)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document

Galiot, N. (2017). Algebarska struktura grupa (Undergraduate thesis). 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 22 January 2020, 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 2020 January 22] 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

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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)
(Algebra and Calculus 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
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2017-10-06 06:53:46