Some sporadic groups as Galois groups
Some sporadic groups as Galois groups II
Some subgroups of the Baby Monster.
Standard generators for .
Sull'esistenza di sottogruppi nilpotenti auto-normalizzanti in alcuni gruppi semplici
We consider the Suzuki groups and we show that there are no nilpotent self-normalizing subgroups and there are three conjugacy classes of F-projectors, where F is the formation of supersoluble groups.
Sull’esistenza di sottogruppi nilpotenti autonormalizzanti in alcuni gruppi semplici, II
We prove that in the Mathieu groups there is a unique conjugacy class of nilpotent self-normalizing subgroups, the class of the 2-Sylow subgroups. In the Janko group there are no nilpotent self-normalizing subgroups.
The Conway-Norton algebras for ?(6,3), ?(7,3), F'24, and their full automorphism groups.
The Friendly Giant.
The Mathieu group and its pseudogroup extension .
The Minimal 5-Representation of Lyon's Sporadic Group.
The primitive distance-transitive representations of the Fischer groups.
The residually weakly primitive geometries of .
The situation of in the sporadic simple group He
The small Ree group and related graph
Let be a finite group. The main supergraph is a graph with vertex set in which two vertices and are adjacent if and only if or . In this paper, we will show that if and only if . As a main consequence of our result we conclude that Thompson’s problem is true for the small Ree group .
The Structure of the Linear Homogeneous Groups Defined by the Invariant ...........................
The subgroups of , or how to compute the table of marks of a finite group.
The uniqueness of groups of type J4.
Three amalgams of A_5
Torsion units for some almost simple groups
We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in integral group rings for certain automorphism groups of simple groups. Recently, many new restrictions on partial augmentations for torsion units of integral group rings have improved the effectiveness of the Luther-Passi method for verifying the Zassenhaus conjecture for certain groups. We prove that the Zassenhaus conjecture is true for the automorphism group of the simple group . Additionally we prove that...
Two short presentations for Lyons' sporadic simple group.