Daniel Daly

collaborators

2 papers

math.GR2015

Enumeration of nilpotent loops via cohomology

Daniel Daly, Petr Vojtěchovský

The isomorphism problem for centrally nilpotent loops can be tackled by methods of cohomology. We develop tools based on cohomology and linear algebra that either lend themselves t…

math.CO2015

How permutations displace points and stretch intervals

Daniel Daly, Petr Vojtěchovský

Let $S_{n}$ be the set of permutations on ${1, \dots, n}$ and $π \in S_{n}$ . Let $d (π)$ be the arithmetic average of ${∣ i - π (i) ∣; 1 \leq i \leq n}$ . Then $\mathrm{d}(π)/n\in[…