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Results tagged with co.combinatorics
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user 246663
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
13
votes
Are there always more conjugacy classes in the kernel of a morphism to $Z_2$ than not?
I have a solution to the case of a general cyclic quotient which follows @diracdeltafunk's answer on MSE.
If $A=Z_n$ is cyclic then we can treat $\phi:G\to Z_n\hookrightarrow\mathbb{C}$ as a one dime …
- 513
28
votes
6
answers
1k
views
Are there always more conjugacy classes in the kernel of a morphism to $Z_2$ than not?
Let $G$ be a finite group and let $\phi:G\to Z_2$ be a homomorphism to the group with two elements. Is it always the case that there are more conjugacy classes in the kernel of $\phi$ than conjugacy c …
- 513