Question
Let g be a group of order 4n+2, use Cauchy's theorem, Cayley's theorem and Exercise 6.6 to show that G contains a subgroup of 2n+1.
Let g be a group of order 4n+2, use Cauchy's theorem, Cayley's theorem and Exercise 6.6 to show that G contains a subgroup of 2n+1.
Exercise 6.6: If H is a subgroup of S_n and if H is not in A_n, prove that exactly one half of elements in H are even permutations.
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An Introduction to the Mathematics of financial Derivatives
Authors: Salih N. Neftci
2nd Edition
978-0125153928, 9780080478647, 125153929, 978-0123846822
