Note on a variant of the Erdős-Ginzburg-Ziv problem
Note on the -nilpotency in finite groups.
Note on the simple group of order 504
Notes on the average number of Sylow subgroups of finite groups
We show that if the average number of (nonnormal) Sylow subgroups of a finite group is less than then is solvable or . This generalizes an earlier result by the third author.
Number of solutions in a box of a linear homogeneous equation in an Abelian group
OD-characterization of almost simple groups related to
In the present paper, we classify groups with the same order and degree pattern as an almost simple group related to the projective special linear simple group . As a consequence of this result we can give a positive answer to a conjecture of W. J. Shi and J. X. Bi, for all almost simple groups related to except . Also, we prove that if is an almost simple group related to except and is a finite group such that and , then .
Odd Automorphisms of Sylow 2-subgroups of sporadic simple groups.
Odd Order Hall Subgroups of GL(n, q) and Sp(2n, q).
Odd order Hall subgroups of the classical linear groups.
On 2-Groups with no Abelian Subgroups of Rank Four.
On - and -decomposable finite groups
On - and -decomposable finite groups
On a certain class of 2-local subgroups in finite simple groups
On a class of finite solvable groups
A finite solvable group G is called an X-group if the subnormal subgroups of G permute with all the system normalizers of G. It is our purpose here to determine some of the properties of X-groups. Subgroups and quotient groups of X-groups are X-groups. Let M and N be normal subgroups of a group G of relatively prime order. If G/M and G/N are X-groups, then G is also an X-group. Let the nilpotent residual L of G be abelian. Then G is an X-group if and only if G acts by conjugation on L as a group...
On a class of groups with Lagrangian factor groups.
On A Combinatorial Problem Connected withFactorizations
On a conjecture of Erdös and Heilbronn
On a conjecture of M. E. Watkins on graphical regular representations of finite groups
On a definition for formations
By constructing appropriate faithful simple modules for the group GL(2,3), the author shows that certain "local" definitions for formations are not equivalent.
On a free action of a group on an Abelian group.