Farrell cohomology and Brwon theorems for profinite groups.
Fastabelsche Minimaxgruppen
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
Fine convergence in free groups
Finitary linear images of finitary linear groups.
Finite Groups of Exponent 4 as Automorphism Groups. II.
Finite groups whose all proper subgroups are -groups
A group is said to be a -group if for every divisor of the order of , there exists a subgroup of of order such that is normal or abnormal in . We give a complete classification of those groups which are not -groups but all of whose proper subgroups are -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.
Finite groups with Hall supplements to primitive subgroups.
Finite p-Periodic Quotients of General Linear Groups.
Finite representations of pro-p groups and discrete groups.
Finite simple groups with complemented maximal subgroups.
Finite subgroups of .
Finite Sylow subgroups in simple locally finite groups of Lie type.
Finite-finitary, polycyclic-finitary and Chernikov-finitary automorphism groups
If X is a property or a class of groups, an automorphism ϕ of a group G is X-finitary if there is a normal subgroup N of G centralized by ϕ such that G/N is an X-group. Groups of such automorphisms for G a module over some ring have been very extensively studied over many years. However, for groups in general almost nothing seems to have been done. In 2009 V. V. Belyaev and D. A. Shved considered the general case for X the class of finite groups. Here we look further at the finite case but our main...
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.