Some problems on splittings of groups.
Some Properties of p -Groups and Commutative p -Groups
This article describes some properties of p-groups and some properties of commutative p-groups.
Some questions on quasinilpotent groups and related classes.
In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).
Some questions on the number of generators of a finite group
Some Remarks on a Certain Class of Finite p-Groups.
Some remarks on G-functors and the Brauer morphism.
Some remarks on groups in which elements with the same -power commute
In this paper we characterize certain classes of groups in which, from (, a fixed prime), it follows that . Our results extend results previously obtained by other authors, in the finite case.
Some Results on 2-Transitive Groups.
Some Results on Pushing up in Finite Groups.
Some results on Sylow numbers of finite groups
We study the group structure in terms of the number of Sylow -subgroups, which is denoted by . The first part is on the group structure of finite group such that , where is a normal subgroup of . The second part is on the average Sylow number and we prove that if is a finite nonsolvable group with and , then , where is the Fitting subgroup of . In the third part, we study the nonsolvable group with small sum of Sylow numbers.
Some results on the partitions of groups
Some results on the recognizability of the linear groups over the binary field
In this paper, we first find the set of orders of all elements in some special linear groups over the binary field. Then, we will prove the characterizability of the special linear group using only the set of its element orders.
Some results on -solvable and supersolvable groups.
Some simple groups which are determined by the set of their character degrees. II
Some sporadic groups as Galois groups
Some sporadic groups as Galois groups II
Some subgroups of the Baby Monster.
Some supersolvability criteria for finite groups.
Sopra alcune classi di gruppi minimali non-P
In this paper we study finite non abelian groups in which every proper normal subgroup and every proper epimorphic image is abelian. Also we study finite non nilpotent groups in which every normal subgroup and every proper epimorphic image is nilpotent and those finite soluble non nilpotent groups in which every proper normal subgroup is nilpotent.
Sopra i gruppi finiti non supersolubili a sottogruppi normali e quozienti propri supersolubili
In questa nota si studiano i gruppi finiti non supersolubili che hanno un solo sottogruppo normale massimale, e per cui ogni sottogruppo normale proprio e ogni immagine epimorfica propria è supersolubile.