Coronavirus (COVID-19) Update
Due to the Coronavirus (COVID-19) pandemic, any references to assessment tasks and on-campus delivery may no longer be up-to-date on this page.
Students should consult iLearn for revised unit information.
Find out more about the Coronavirus (COVID-19) and potential impacts on staff and students
Unit convenor and teaching staff |
Unit convenor and teaching staff
Unit Convenor/Lecturer
Ross Moore
12WW 734
please refer to iLearn
Lecturer
Frank Valckenborgh
12WW 613
please refer to iLearn
Frank Schoenig
|
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Credit points |
Credit points
10
|
Prerequisites |
Prerequisites
130cp including (MATH2010 or MATH235)
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Corequisites |
Corequisites
MATH3900 or MATH3901 or MATH3905 or MATH300 or MATH331 or MATH335
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Co-badged status |
Co-badged status
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Unit description |
Unit description
This unit develops the basic ideas of modern abstract algebra by concentrating on the many facets of group theory. As well as the standard material leading to the isomorphism theorems, we cover combinatorial aspects such as presentations of groups, the Todd–Coxeter algorithm, and subgroups of free groups via groupoids. Also studied are permutation groups, finitely generated abelian groups, soluble groups and group representations. The unit is especially suitable for students majoring in the theoretical aspects of physics or computing science. |
Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates
On successful completion of this unit, you will be able to:
Coronavirus (COVID-19) Update
Assessment details are no longer provided here as a result of changes due to the Coronavirus (COVID-19) pandemic.
Students should consult iLearn for revised unit information.
Find out more about the Coronavirus (COVID-19) and potential impacts on staff and students
There is also a highly valuable, but not assessed, learning task that all students should complete either prior to commencement of lectures or within the first week and a half of the teaching session. This will provide students with hands-on models that will prove valuable during some of the early lectures. Consult the iLearn site for the details of this task.
ATTENDANCE and PARTICIPATION: Please contact the unit convenor as soon as possible if you have difficulty attending and participating in any classes. There may be alternatives available to make up the work. If there are circumstances that mean you will miss a class, you can apply for Special Consideration via ask.mq.edu.au
ASSIGNMENT SUBMISSION: Assignment submission will be online through the iLearn page.
Submit assignments online via the appropriate assignment link on the iLearn page. A personalised cover sheet is not required with online submissions. Read the submission statement carefully before accepting it as there are substantial penalties for making a false declaration.
You may submit as often as required prior to the due date/time. Please note that each submission will completely replace any previous submissions. It is in your interests to make frequent submissions of your partially completed work as insurance against technical or other problems near the submission deadline.
LATE SUBMISSION OF WORK: All assessment tasks must be submitted by the official due date and time. In the case of a late submission for a non-timed assessment (e.g. an assignment), if special consideration has NOT been granted, 20% of the earned mark will be deducted for each 24-hour period (or part thereof) that the submission is late for the first 2 days (including weekends and/or public holidays). For example, if an assignment is submitted 25 hours late, its mark will attract a penalty equal to 40% of the earned mark. After 2 days (including weekends and public holidays) a mark of 0% will be awarded. Timed assessment tasks (e.g. tests, examinations) do not fall under these rules.
FINAL EXAM POLICY: It is Macquarie University policy not to set early examinations for individuals or groups of students. All students are expected to ensure that they are available until the end of the teaching semester, that is, the final day of the official examination period. The only excuse for not sitting an examination at the designated time is because of documented illness or unavoidable disruption. In these special circumstances, you may apply for special consideration via ask.mq.edu.au.
If you receive special consideration for the final exam, a supplementary exam will be scheduled in the interval between the regular exam period and the start of the next session. By making a special consideration application for the final exam you are declaring yourself available for a resit during this supplementary examination period and will not be eligible for a second special consideration approval based on pre-existing commitments. Please ensure you are familiar with the policy prior to submitting an application.
You can check the supplementary exam information page on FSE101 in iLearn (bit.ly/FSESupp) for dates, and approved applicants will receive an individual notification one week prior to the exam with the exact date and time of their supplementary examination.
Coronavirus (COVID-19) Update
Any references to on-campus delivery below may no longer be relevant due to COVID-19.
Please check here for updated delivery information: https://ask.mq.edu.au/account/pub/display/unit_status
Text: The recommended text for this course is Chris Cooper's "Groups, presentations and representations". This is available via iLearn as a collection of PDF files, one for each chapter. Each chapter corresponds to roughly 1 or 2 lectures (2 hours per lecture).
Other lecture slides and materials will also be made available at times appropriate for the lectures in which the material is discussed; either before-hand or afterwards.
Coronavirus (COVID-19) Update
The unit schedule/topics and any references to on-campus delivery below may no longer be relevant due to COVID-19. Please consult iLearn for latest details, and check here for updated delivery information: https://ask.mq.edu.au/account/pub/display/unit_status
WEEK | Beginning | Stream 1 | Stream 2 | Task Due |
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1 | 24 Feb | Introduction | Permutations | |
2 | 2 Mar | Examples | Assignment 0 | |
3 | 9 Mar | Theory, 1 | The Todd-Coxeter algorithm | |
4 | 16 Mar | Theory, 2 | ||
5 | 23 Mar | Groups acting on sets: Sylow subgroups | Assignment 1 | |
6 | 30 Mar | Representations | Semi-direct and wreath products | |
7 | 6 Apr | — Good Friday holiday — | Project (first half) | |
MID SEMESTER BREAK | ||||
8 | 28 Apr | Representations, (cont'd) | Free groups | |
9 | 4 May | |||
10 | 11 May | Finitely generated abelian groups | Assignment 2 | |
11 | 18 May | Solvable groups | ||
12 | 25 May | Infinite abelian groups | Project (second half) | |
13 | 1 Jun | REVISION | REVISION |
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