Health warning: This is not official Open University material. All errors, misconceptions and misleading statements are my very own
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D6: The Full Monty
Revision: A summary of all the groups stuff applied to D6 (my fave group).
Subgroups & orders
Revision: I've collected together all the theorems about orders of subgroups and a few other useful theorems about orders.
These are the latest versions of my exam solutions for 1994 - 2010.
BUT: you're honour-bound to try the questions before you look at my answers!
Update 1/1/2013: New version of 2000 solution, correcting an error in Q13 (c).
Click to enlarge Exam Tips.
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These are miscellaneous notes on topics/exercises that some students have found difficult. I'll drop in my dayschool handouts after each event, and add in other interesting things when I come across any.
Block 2 Basics
Very short intro notes / tips for each unit in this block.
GE1 Counting with groups
Summary of all the methods of counting with groups.
GR1
A slightly different take on prime factorisation, lcm and hcf
GR2
Comparison of the properties of groups of order 8
Block 2 dayschool
Handouts to be posted after the gig
IB1 Degrees
Some alternative ways of thinking about the degree of a tile or vertex.
IB2 Order! Order!
Order of a group vs order of an element
IB2 Elements of D6
IB4 Dihedral group
Cayley table for D10, using colours for group elements. How cool is that!
Block 1 dayschool
Handouts available after the gig
GE3 Glide stuff
A general note on glides, to sort out what the different forms of notation mean
GE3: Exercise 1.8
How to find a reduced basis for a lattice - easy if you draw the picture!
GE3: Minimality region
They liked this picky at the dayschool, so here it is.
GE4: Exercise 2.7
Wallpaper stuff - starting off with standard form and going backwards.
Block 3 dayschool
Handouts to be posted after the gig
My rudest joke
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