Michael Chapman

activity

20162020

most citedCutoff on Ramanujan complexes and classical groups

4 citations · 5 across the 4 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.RA2016

Symbol $p$ -Algebras of Prime Degree and their $p$ -Central Subspaces

Adam Chapman, Michael Chapman

We prove that the maximal dimension of a $p$ -central subspace of the generic symbol $p$ -algebra of prime degree $p$ is $p + 1$ . We do it by proving the following number theoretic fac…

math.GR2016

Filtrations of free groups arising from the lower central series

Michael Chapman, Ido Efrat

We make a systematic study of filtrations of a free group F defined as products of powers of the lower central series of F. Under some assumptions on the exponents, we characterize…

Symbol p-Algebras of Prime Degree and their p-Central Subspaces

Filtrations of free groups arising from the lower central series

Symbol $p$ -Algebras of Prime Degree and their $p$ -Central Subspaces