5 papers
Finiteness properties of profinite blocks and blocks with defect group
Florian Eisele, John W. MacQuarrie
We prove that any block of a profinite group with a topologically finitely generated defect group is isomorphic to a block of a virtually pro- group, and if is finitely…
Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups
Florian Eisele, Ricardo J. Franquiz Flores, John W. MacQuarrie
We introduce block pro-fusion systems for blocks of profinite groups, prove a profinite version of Puig's structure theorem for nilpotent blocks, and use it to show that there is o…
Units in group rings and blocks of Klein four or dihedral defect
Florian Eisele, Leo Margolis
We obtain restrictions on units of even order in the integral group ring of a finite group by studying their actions on the reductions modulo of lattices over…
Units in Blocks of Defect 1 and the Zassenhaus Conjecture
F. Eisele, L. Margolis
Building on previous work by Caicedo and the second author, we develop a method that decides the existence of units of finite order in blocks of of defect 1. This…
Arbitrarily large Morita Frobenius numbers
Florian Eisele, Michael Livesey
We construct blocks of finite groups with arbitrarily large Morita Frobenius numbers, an invariant which determines the size of the minimal field of definition of the associated ba…