-groups and related classes
-nilpotent groups and a Frattini-like subgroup
FC-nilpotent products of hypercentral groups.
Finitary linear images of finitary linear 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 p-Periodic Quotients of General Linear Groups.
Finite subgroups of .
Finite Sylow subgroups in simple locally finite groups of Lie type.
Finitely Generated pro-2 Groups with a free subgroup of Index 2.
Finitely generated soluble groups with an Engel condition on infinite subsets
Frattini Covers and Projective Groups Without the Extension Property.
Free and non-free subgroups of the fundamental group of the Hawaiian Earrings
The space which is composed by embedding countably many circles in such a way into the plane that their radii are given by a null-sequence and that they all have a common tangent point is called “The Hawaiian Earrings”. The fundamental group of this space is known to be a subgroup of the inverse limit of the finitely generated free groups, and it is known to be not free. Within the recent move of trying to get hands on the algebraic invariants of non-tame (e.g. non-triangulable) spaces this space...
Free products with amalgamation of finite groups and finite outer automorphism groups of free groups
Free quotients of congruence subgroups of Bianchi groups.
Free Quotients of Congruence Subgroups of SL2 Over a Coordinate Ring.
Free quotients of finitely presented groups.
Free Subgroups and Folners Conditions.
Frobenius Subgroups of Free Products of Prosolvable Groups.