...1-Separable Groups and Kaplansky's Test Problems.
1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
We describe unicorn paths in the arc graph and show that they form 1-slim triangles and are invariant under taking subpaths. We deduce that all arc graphs are 7-hyperbolic. Considering the same paths in the arc and curve graph, this also shows that all curve graphs are 17-hyperbolic, including closed surfaces.
2- группы, обладающие автоморфизмом нечетного порядка, тождественным на инволюциях.
(2,3)-generation of the groups PSL6(q)
2010 Mathematics Subject Classification: 20F05, 20D06.We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q).
2-Groups which Contain Exactly Three Involutions.
2-recognizability by prime graph of .
2-signalizers of finite simple groups.
2-transitiv abstract ovals of odd order.
2-weigths for classical groups.
2-длина и 2-период конечной разрешимой группы.
-configurations with simple edge basis and their corresponding quasigroup identities
There is described a procedure which determines the quasigroup identity corresponding to a given 3-coloured 3-configuration with a simple edge basis.
3-локальная характеризация группы Хельда
3-характеризации конечных групп
3-характеризации конечных групп.
3-характеризация группы О'Нэна - Симса
4-core partitions and class numbers
6-BFC groups
A 1 1/2-dimensional version of Hopf's Theorem on the number of ends of a group.
A band generated by two semilattices is regular.
A basic for the type <n> hyperidentities of the medial variety of semigroups.