Eine Bemerkung zu den zyklischen Gruppen.
Elementary Abelian operator groups.
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
We present a survey of results on word equations in simple groups, as well as their analogues and generalizations, which were obtained over the past decade using various methods: group-theoretic and coming from algebraic and arithmetic geometry, number theory, dynamical systems and computer algebra. Our focus is on interrelations of these machineries which led to numerous spectacular achievements, including solutions of several long-standing problems.
Equivalence of the strengthened Hanna Neumann conjecture and the amalgamated graph conjecture.
Estimation of the order of a group generated by a twisted subset.
Exact covering systems for groups
Extreme elements of finite -groups