University Course Planner The University of Adelaide Australia

PURE MTH 7059 - Groups and Rings

Career: Postgraduate Coursework
Units: 3
Term: 4210
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: No
Assumed Knowledge: PURE MTH 2106
Assessment: Ongoing assessment, examination
Syllabus:

The algebraic notions of groups and rings are of great interest in their own right, but knowledge and understanding of them is of benefit well beyond the realms of pure algebra. Areas of application include, for example, advanced number theory; cryptography; coding theory; differential, finite and algebraic geometry; algebraic topology; representation theory and harmonic analysis including Fourier series. The theory also has many practical applications including, for example, to the structure of molecules, crystallography and elementary particle physics. Topics covered are: (1) Groups, subgroups, cosets and normal subgroups, homomorphisms and factor groups, products of groups, finitely generated abelian groups, groups acting on sets and the Sylow theorems. (2) Rings, integral domains and fields, polynomials, ideals, factorization in integral domains and unique factorization domains.

Course Fees

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Student Status

Domestic
International

What type of place are you studying in

Commonwealth supported
Full fee paying

Study Level

Undergraduate
Postgraduate Coursework
Non Award

Program of Study

Study Abroad student tuition fees are available here

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information

Units
EFTSL
Amount
3
0.125
          
  


Course Outline

A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here


Critical Dates

Term Last Day to Add Online Census Date Last Day to WNF Last Day to WF
4210 Tue 15/03/2022 Thu 24/03/2022 Fri 06/05/2022 Fri 10/06/2022


Class Details

Enrolment Class: Workshop
Class Nbr Section Size Available Dates Days Time Location
10609 WR01 3 2 3 Mar - 7 Apr Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
28 Apr - 2 Jun Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
Note: This class will be delivered both online and face to face. Please refer to MyUni for details once enrolled.
Related Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
11485 LE01 3 2 28 Mar - 28 Mar Monday 2pm - 3pm Engineering & Mathematics, EM106, Computer Suite
9 May - 9 May Monday 2pm - 3pm Engineering & Mathematics, EM106, Computer Suite
Related Class: Tutorial
Class Nbr Section Size Available Dates Days Time Location
11487 TU01 2 1 28 Feb - 4 Apr Monday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
25 Apr - 6 Jun Monday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
11492 TU02 1 1 1 Mar - 5 Apr Tuesday 10am - 11am MyUni, OL, Online Class
26 Apr - 7 Jun Tuesday 10am - 11am MyUni, OL, Online Class
Note: This class is for offshore / interstate students only. Where this requirement is not met, students risk being removed from this class. Please refer to MyUni for details once enrolled.