Archive for the ‘IA Groups’ Category

Groups and Group Actions: Lecture 16

May 18, 2016

In which we meet Cayley’s Theorem and reach the end of this particular adventure, but catch a glimpse of far-off lands still to be explored.

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Groups and Group Actions: Lecture 15

May 16, 2016

In which we meet the Orbit-Counting Formula

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Groups and Group Actions: Lecture 14

May 11, 2016

In which we explore groups of order p^2 and encounter Cauchy’s Theorem.

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Groups and Group Actions: Lecture 13

May 9, 2016

In which we explore the Orbit-Stabiliser Theorem.

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Groups and Group Actions: Lecture 12

May 4, 2016

In which we meet group actions.

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Groups and Group Actions: Lecture 11

May 2, 2016

In which we meet and explore quotient groups.

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Groups and Group Actions: Lecture 10

April 27, 2016

In which we think some more about homomorphisms, and meet normal subgroups.

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Groups and Group Actions: Lecture 9

April 25, 2016

In which we think about homomorphisms, and wonder how many genuinely different groups there are with small orders.

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Groups and Group Actions: Lecture 8.5

April 22, 2016

In which we wonder what a non-integer lecture is anyway.

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Groups and Group Actions: Lecture 8

March 10, 2016

In which we prove Lagrange’s theorem, and deduce many interesting results as a consequence.

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