-nilpotent groups and a Frattini-like subgroup
Factorizations of one-generated -local formations.
Faithful integral and modular representations of the Klein bottle group
Faithful linear representations of the braid groups
Families of jacobian manifolds and characteristic classes of surface bundles. I
In our previous work we have defined the notion of characteristic classes of surface bundles, which are differentiable fibre bundles whose fibres are closed oriented surfaces. In this paper we derive new relations between these characteristic classes by considering a canonical embedding of a given surface bundle with cross section to its associated family of Jacobian manifolds. As a key technical step we determine the first cohomology group of the mapping class group of oriented surfaces with coefficients...
Farrell cohomology of low genus pure mapping class groups with punctures.
Fast searching for Andrews-Curtis trivializations.
FC-gruppi e proiettività
Some lattice properties of FC-groups and generalized FC-groups are considered in this paper.
FC-nilpotent products of hypercentral groups.
fc-группы с ограниченными в совокупности порядками элементов периодической части
Finite geometry for a generation.
Finite groups admitting some coprime operator groups
Finite groups in which every two elements generate a soluble subgroup.
Finite groups in which subnormalizers are subgroups
Finite groups of bounded rank with an almost regular automorphism of prime order.
Finite groups with a unique nonlinear nonfaithful irreducible character
In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only -groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful irreducible character then is solvable.
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.