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Markov chains on finite sets are used in a great variety of situations
to approximate, understand and sample from their limit distribution. A familiar
example is provided by card shufflin...
Counting packings of generic subsets in finite groups
Counting generic subsets finite groups
2010/11/9
A packing of subsets $\mathcal S_1,..., \mathcal S_n$ in a group $G$ is a sequence $(g_1,...,g_n)$ such that $g_1\mathcal S_1,...,g_n\mathcal S_n$ are disjoint subsets of $G$. We give a formula for t...
The Orbit Method for Finite Groups of Nilpotency Class Two of Odd Order
The Orbit Method Finite Groups Nilpotency Class
2010/10/29
First, I construct an isomorphism between the categories of (topological) groups of nilpotency class 2 with 2-divisible center and (topological) Lie rings of nilpotency class 2 with 2-divisible center...