Groups and Group Actions: Lecture 9

April 24, 2017

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 17, 2017

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

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Groups and Group Actions: Lecture 8

March 9, 2017

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

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Groups and Group Actions: Lecture 7

March 8, 2017

In which we think about the link between equivalence relations and partitions, and meet cosets.

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Groups and Group Actions: Lecture 6

March 2, 2017

In which we think about cyclic groups, and renew an old friendship with equivalence relations.

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Groups and Group Actions: Lecture 5

March 1, 2017

In which we find that the alternating group is a group, and study subgroups in more detail.

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Groups and Group Actions: Lecture 4

February 23, 2017

In which we explore permutations in more detail.

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Groups and Group Actions: Lecture 3

February 22, 2017

In which we start to explore permutations.

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Groups and Group Actions: Lecture 2

February 16, 2017

In which we meet the dihedral groups, build new groups from old, and explore Cayley tables.

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Groups and Group Actions: Lecture 1

February 15, 2017

In which we learn what a group is, and meet many examples.

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