Finite simple groups with complemented maximal subgroups.
Finite simple zeropotent paramedial groupoids
The study of paramedial groupoids (with emphasis on the structure of simple paramedial groupoids) was initiated in [1] and continued in [2], [3] and [5]. The aim of the present paper is to give a full description of finite simple zeropotent paramedial groupoids (i.e., of finite simple paramedial groupoids of type (II)—see [2]). A reader is referred to [1], [2], [3] and [7] for notation and various prerequisites.
Finite soluble and nilpotent groups with a restriction on the rank of the centralizer of an automorphism of prime order.
Finite subgroups of .
Finite subset spaces of graphs and punctured surfaces.
Finite Sylow subgroups in simple locally finite groups of Lie type.
Finite tangled groups.
Finite-dimensional twisted group algebras of semi-wild representation type
Let G be a finite group, K a field of characteristic p > 0, and the twisted group algebra of G over K with a 2-cocycle λ ∈ Z²(G,K*). We give necessary and sufficient conditions for to be of semi-wild representation type in the sense of Drozd. We also introduce the concept of projective K-representation type for a finite group (tame, semi-wild, purely semi-wild) and we exhibit finite groups of each 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 free *-bands.
Finitely generated fuchsian groups.
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.
Finitely generated left commutative semigroups are residually finite.
Finitely generated left distributive semigoups
Finitely Generated Metabelian Groups are not Subnormality Separable.
Finitely Generated pro-2 Groups with a free subgroup of Index 2.
Finitely generated soluble groups with an Engel condition on infinite subsets
Finitely generated soluble groups with an Engel condition on infinite subsets
Finitely generated weakly reductive commutative semigroups.
Finitely Presented Subgroups of Three-Manifold Groups.