University Course Planner The University of Adelaide Australia

PURE MTH 7059 - Groups and Rings

Career: Postgraduate Coursework
Units: 3
Term: 3410
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
Assumed Knowledge: PURE MTH 2016
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

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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
3410 Mon 17/03/2014 Mon 31/03/2014 Fri 09/05/2014 Fri 13/06/2014


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
10899 LE01 5 3 4 Mar - 8 Apr Tuesday 12pm - 1pm Ingkarni Wardli, B20, Teaching Suite
5 Mar - 9 Apr Wednesday 12pm - 1pm Ingkarni Wardli, B20, Teaching Suite
6 Mar - 10 Apr Thursday 1pm - 2pm Ingkarni Wardli, B20, Teaching Suite
29 Apr - 10 Jun Tuesday 12pm - 1pm Ingkarni Wardli, B20, Teaching Suite
30 Apr - 11 Jun Wednesday 12pm - 1pm Ingkarni Wardli, B20, Teaching Suite
1 May - 12 Jun Thursday 1pm - 2pm Ingkarni Wardli, B20, Teaching Suite