*in which we explore groups of order 6 and make a start on quotients.
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# Month: October 2015

# Groups Lecture 10

*in which we apply group theory to prove Fermat-Euler, use Lagrange to help us find subgroups or determine what a small group must look like, and meet normal subgroups.
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# Groups Lecture 9

*in which apply Lagrange’s Theorem to prime order groups, meet equivalence relations and further explore multiplication modulo n.
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# Groups Lecture 8

*in which we show that the sign of a permutation is a surjective group homomorphism, meet cosets and prove Lagrange’s Theorem.
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# Groups Lecture 7

*in which we prove that disjoint cycle notation works and get a first glimpse of the sign of a permutation.
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# Groups Lecture 6

*in which we meet the symmetric groups and their cycle notation.
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# Groups Lecture 5

*in which we investigate cyclic groups, generators, dihedral groups and cartesian products of groups.
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# Groups Lecture 4

*in which we learn more about group homomorphisms and meet images and kernels.
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# Groups Lecture 3

*in which we meet group homomorphisms.*

# Groups Lecture 2

*in which we meet some properties of groups and define subgroups.*