Related papers: $L_9$-free groups
A group $G$ is said to have dense normalizers if each non-empty open interval in its subgroup lattice $L(G)$ contains the normalizer of a certain subgroup of $G$. In this note, we find all finite groups satisfying this property. We also…
This work gives a classification of imprimitive irreducible finite subgroups of the orthogonal group O(7) plus the number of conjugate classes for each group.
In this note we study the finite groups whose subgroup lattices are dismantlable.
We prove that the outer automorphism group of a free group of countably infinite rank is complete.
In this paper, we discuss about finite groups in which, CGH = NGH, for every abelian subgroup H of non prime power order. Also, we classify all such nilpotent and minimal non nilpotent groups.
We classify all finite simple subgroups in the Cremona group of rank 3
Recent results on finite open group transformations are reviewed.
Let $F$ be either a free nilpotent group of a given class and of finite rank or a free solvable group of a certain derived length and of finite rank. We show precisely which ones have the $R_{\infty}$ property. Finally, we also show that…
This is an introduction to the class of groups that are locally embeddable into finite groups.
We classify all finite groups of essential dimension 2 over an algebraically closed field of characteristic 0.
This is the third and last of three papers containing the complete proof that all finitely presented groups are QSF.
We present a characterization of the finite groups in which all real classes have prime powers size.
We classify the factorizations of finite classical groups with nonsolvable factors, completing the classification of factorizations of finite almost simple groups.
The free profinite product of finitely many absolute Galois group is an absolute Galois group.
The principle result of this article is the determination of the possible finite subgroups of arithmetic lattices in U(2,1).
We establish a general criterion for the finite presentability of subdirect products of groups and use this to characterize finitely presented residually free groups. We prove that, for all $n\in\mathbb{N}$, a residually free group is of…
Any virtually free group $H$ containing no non-trivial finite normal subgroup (e.g., the infinite dihedral group) is a retract of any finitely generated group containing $H$ as a verbally closed subgroup.
In this paper, we describe all finite Wajsberg algebras of order n<=9.
We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite…
In this paper we determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and non-defining characteristic. On our way to proving this, we classify the maximal rank $2$ elementary…