On Partial Ordering of Chief Factors in Solvable Groups.
On p-Complements of Sylowizers.
On P-groups of Small Order
On p...-High Injectives.
On presentations of finite p-groups.
On Products of Finite Nilpotent Groups.
On p-Solubility and the Projection into a Sylow p-Subgroup.
On -conjugate-permutability of Sylow subgroups
A subgroup of a finite group is said to be conjugate-permutable if for all . More generaly, if we limit the element to a subgroup of , then we say that the subgroup is -conjugate-permutable. By means of the -conjugate-permutable subgroups, we investigate the relationship between the nilpotence of and the -conjugate-permutability of the Sylow subgroups of and under the condition that , where and are subgroups of . Some results known in the literature are improved and...
On R. Griess' "Friendly giant".
On rank 2 geometries of the Mathieu group .
On rapid generation of .
On recognition by spectrum of finite simple linear groups over fields of characteristic 2.
On recognition of all finite nonabelian simple groups with orders having prime divisors at most 13.
On recognition of finite simple groups with connected prime graph.
On recognition of the finite simple orthogonal groups of dimension , , and over a field of characteristic 2.
On recognition of the projective special linear groups over binary fields.
On regular automorphisms of order 3 and Frobenius pairs.
On Rough Subgroup of a Group
This article describes a rough subgroup with respect to a normal subgroup of a group, and some properties of the lower and the upper approximations in a group.
On -quasinormal and -normal subgroups of a finite group
Let be a saturated formation containing the class of supersolvable groups and let be a finite group. The following theorems are presented: (1) if and only if there is a normal subgroup such that and every maximal subgroup of all Sylow subgroups of is either -normal or -quasinormally embedded in . (2) if and only if there is a normal subgroup such that and every maximal subgroup of all Sylow subgroups of , the generalized Fitting subgroup of , is either -normal or -quasinormally...
On self-centralizing Sylow subgroups of order four