A Characteristic 2-Subgroups of a Finite Special Group.
A condition for the solvability of finite groups.
A contribution to the theory of finite supersoluble groups
A generalized Frattini subgroup of a finite group.
A Noncoprime Shult Type Theorem.
A note on a result of Skiba.
A note on -solvable and solvable finite groups.
A note on the converse of the Clifford's theorem and some consequences
A note on weakly-supplemented subgroups and the solvability of finite groups
Suppose that is a finite group and is a subgroup of . The subgroup is said to be weakly-supplemented in if there exists a proper subgroup of such that . In this note, by using the weakly-supplemented subgroups, we point out several mistakes in the proof of Theorem 1.2 of Q. Zhou (2019) and give a counterexample.
A note on weakly-supplemented subgroups of finite groups
A subgroup of a finite group is weakly-supplemented in if there exists a proper subgroup of such that . In the paper, we extend one main result of Kong and Liu (2014).
A number theoretic approach to Sylow r-subgroups of classical groups.
The purpose of this paper is to give a general and a simple approach to describe the Sylow r-subgroups of classical groups.
A -stable action of the automorphism group of a group
A remark on a Theorem of J. G. Thompson
An important theorem by J. G. Thompson says that a finite group is -nilpotent if the prime divides all degrees (larger than 1) of irreducible characters of . Unlike many other cases, this theorem does not allow a similar statement for conjugacy classes. For we construct solvable groups of arbitrary -lenght, in which the lenght of any conjugacy class of non central elements is divisible by .
A Theorem of Sylow Type for Finite Groups.
A -theorem for -injectors in finite groups
Active sums of groups.
Addendum to : “Prime graph components of finite almost simple groups” [Rend. Sem. Mat. Univ. Padova 102 (1999), 1–22]
Algorithms for permutability in finite groups
In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.
An elementary study of groups whose order is a product of two primes.
Automorphisms of Certain Tree.