Explicit presentations for exceptional braid groups.
Explicit resolutions for the binary polyhedral groups and for other central extensions of the triangle gorups.
Explizite Präsentation gewisser Hilbertscher Modulgruppen durch Erzeugende und Relationen.
Exponents of almost simple groups and an application to the restricted Burnside problem.
Fast searching for Andrews-Curtis trivializations.
Finite geometry for a generation.
Finite groups in which every two elements generate a soluble subgroup.
Finite presentations for the mapping class group via the ordered complex of curves.
Finite representations of pro-p groups and discrete groups.
Finite sets and symmetric simplicial sets.
Finite simple groups of Lie type as expanders
We prove that all finite simple groups of Lie type, with the exception of the Suzuki groups, can be made into a family of expanders in a uniform way. This confirms a conjecture of Babai, Kantor and Lubotzky from 1989, which has already been proved by Kassabov for sufficiently large rank. The bounded rank case is deduced here from a uniform result for which is obtained by combining results of Selberg and Drinfeld via an explicit construction of Ramanujan graphs by Lubotzky, Samuels and Vishne.
Finite tangled groups.
Finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups
We study infinite finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups. The results concern growth and the ascending chain condition for such groups.
Finitely Generated pro-2 Groups with a free subgroup of Index 2.
Finitely generated soluble groups with an Engel condition on infinite subsets
First Order Classes of Groups Having no Groups With a Given Property
First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups.
Følner sequences in polycyclic groups.
The isoperimetric inequality |∂Ω| / |Ω| = constant / log |Ω| for finite subsets Ω in a finitely generated group Γ with exponential growth is optimal if Γ is polycyclic.
Formal language theory and the geometry of 3-manifolds.
Framed Links for Pfeiffer Identities.