A Characterization of the Finite Groups PSL (n, q).
A matrix characterization of the maximal groups in
A Menon-type identity using Klee's function
Menon’s identity is a classical identity involving gcd sums and the Euler totient function . A natural generalization of is the Klee’s function . We derive a Menon-type identity using Klee’s function and a generalization of the gcd function. This identity generalizes an identity given by Y. Li and D. Kim (2017).
Active sums I.
Given a generating family F of subgroups of a group G closed under conjugation and with partial order compatible with inclusion, a new group S can be constructed, taking into account the multiplication in the subgroups and their mutual actions given by conjugation. The group S is called the active sum of F, has G as a homomorph and is such that S/Z(S) ≅ G/Z(G) where Z denotes the center.The basic question we investigate in this paper is: when is the active sum S of the family F isomorphic to the...
Berandungen gruppentheoretischer Eigenschaften
Bestimmung von Untergruppen durch Permutationsdarstellungen.
Blocks, Vertices and Normal Subgroups.
Burnside obstructions to the Montesinos-Nakanishi 3-move conjecture.
Caratterizzazione dei gruppi speciali finiti mediante le classi di proiettività dei quozienti primi di
Characterization by intersection graph of some families of finite nonsimple groups
For a finite group , , the intersection graph of , is a simple graph whose vertices are all nontrivial proper subgroups of and two distinct vertices and are adjacent when . In this paper, we classify all finite nonsimple groups whose intersection graphs have a leaf and also we discuss the characterizability of them using their intersection graphs.
Characters of Groups with Normal Extra Special Subgroups.
Charaktere endlicher Gruppen mit vorgegebenen Schurschen Indizes.
Das Bild des Hurewicz-Homomorphismus h: ...s*(BZp) ->K1(BZp).
Die Umkehrung des Satzes von Brauer-Berman-Witt über induzierte Charaktere endlicher Gruppen.
Eine Invariante endlicher Gruppen.
Finite Groups Generated by 3-Transpositions. I.
Finite Hereditary Near-Field Groups.
Fischer classes in finite groups.
Formations and -closure in finite groups
Group Rings Whose Units Form an FC-Group.