-elements in groups and Dietzmann classes.
6-BFC groups
A model for the universal space for proper actions of a hyperbolic group.
A note on conjugacy class sizes of finite groups
A version of Brauer’s theorem for integer central functions
In this article we prove an effective version of the classical Brauer’s Theorem for integer class functions on finite groups.
An analog of the Baer-Suzuki theorem for infinite groups.
Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem
It is proved for Abelian groups that the Reidemeister coincidence number of two endomorphisms ϕ and ψ is equal to the number of coincidence points of ϕ̂ and ψ̂ on the unitary dual, if the Reidemeister number is finite. An affirmative answer to the bitwisted Dehn conjugacy problem for almost polycyclic groups is obtained. Finally, we explain why the Reidemeister numbers are always infinite for injective endomorphisms of Baumslag-Solitar groups.
Complements of the socle in almost simple groups
Conjugacy classes of -torsion in symplectic groups over -integers.
Conjugacy of Coxeter elements.
Conjugacy of subgroups of the general linear group.
Conjugately dense subgroups in generalized FC-groups.
Conjugately dense subgroups of locally finite Chevalley groups of Lie rank 1.
Des automorphismes continus d'un corps de séries de Puiseux
Extreme elements of finite -groups
Finite groups whose set of numbers of subgroups of possible order has exactly 2 elements
Counting subgroups of finite groups is one of the most important topics in finite group theory. We classify the finite non-nilpotent groups whose set of numbers of subgroups of possible orders has exactly two elements. We show that if is a non-nilpotent group whose set of numbers of subgroups of possible orders has exactly 2 elements, then has a normal Sylow subgroup of prime order and is solvable. Moreover, as an application we give a detailed description of non-nilpotent groups with...
Finite groups with exactly thirteen conjugacy classes
Finite groups with few self-normalizing subgroups
We describe finite groups which contain just one conjugate class of self-normalizing subgroups.
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.
Fixed points for positive permutation braids
Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.