4 papers
Ramification Subgroups of Knot Groups and their Profinite and Cohomological Structure
Marina Palaisti, Federico W. Pasini
We formalize a ramification theory for finite covers of knot exteriors. Given a knot group and a finite-index subgroup , we define meridional inertia subgroups $U\c…
On the arithmetic of the join rings over finite fields
Sunil K. Chebolu, Jonathan Merzel, Ján MinÃ¡Ä +3
Given a collection of finite groups and a ring , we have previously introduced and studied certain foundational properties of the join ring $\mathcal{J}_{G_1,…
A mathematical language for linking fine-scale structure in spikes from hundreds to thousands of neurons with behaviour
Alexandra N. Busch, Roberto C. Budzinski, Federico W. Pasini +8
Recent advances in neural recording technology allow simultaneously recording action potentials from hundreds to thousands of neurons in awake, behaving animals. However, character…
Joins of normal matrices, their spectrum, and applications
Jan MináÄ, Lyle Muller, Tung T. Nguyen +1
Motivated by studies of oscillator networks, we study the spectrum of the join of several normal matrices with constant row sums. We apply our results to compute the characteristic…