Given a finite group $G$, we denote by $L(G)$ the subgroup lattice of $G$ and by ${\cal CD}(G)$ the Chermak-Delgado lattice of $G$. In this note, we determine the finite groups $G$ such that $|{\cal CD}(G)|=|L(G)|-k$, $k=1,2$
Let A be a finite group, and let p be a prime. Suppose that ps is the highest power of p dividing |A...
A classical conjecture in transformation group theory states that if G=(ℤ/p)r acts freely on a produ...
We investigate the possible structures imposed on a finite group by its possession of an automorphis...
By imposing conditions upon the index of a self-centralizing sub-group of a group, and upon the inde...
We investigate the question of how many subgroups of a finite group are not in its Chermak-Delgado l...
Let $G$ be a finite group and let $H \leq G$. We refer to $\ord {H} \ord {C_G(H)}$ as the {\it Cher...
Let $G$ be a finite group. In this paper, we study the structure of finite groups having $|G|-r$ cyc...
A subset {g1,.., gd} of a finite group G invariably generates {g1x1,..,gdxd} generates G for every c...
In mathematics, a group is a set of elements equipped with a binary operation that satisfies the axi...
A subset {g1, ..., gd} of a finite group G is said to invariably generate G if the set {g1x1,...,gdx...
AbstractLet G be an arbitrary group with finite commutator subgroup G′. We prove that if the Frattin...
A group is said to be large if it contains a finite index subgroup which mapsonto a non-abelian free...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
AbstractLet S be a finite p-group. We say that an abelian subgroup A of S is a large abelian subgrou...
AbstractThis paper is part of a program to study the conjecture of E.C. Dade on counting characters ...
Let A be a finite group, and let p be a prime. Suppose that ps is the highest power of p dividing |A...
A classical conjecture in transformation group theory states that if G=(ℤ/p)r acts freely on a produ...
We investigate the possible structures imposed on a finite group by its possession of an automorphis...
By imposing conditions upon the index of a self-centralizing sub-group of a group, and upon the inde...
We investigate the question of how many subgroups of a finite group are not in its Chermak-Delgado l...
Let $G$ be a finite group and let $H \leq G$. We refer to $\ord {H} \ord {C_G(H)}$ as the {\it Cher...
Let $G$ be a finite group. In this paper, we study the structure of finite groups having $|G|-r$ cyc...
A subset {g1,.., gd} of a finite group G invariably generates {g1x1,..,gdxd} generates G for every c...
In mathematics, a group is a set of elements equipped with a binary operation that satisfies the axi...
A subset {g1, ..., gd} of a finite group G is said to invariably generate G if the set {g1x1,...,gdx...
AbstractLet G be an arbitrary group with finite commutator subgroup G′. We prove that if the Frattin...
A group is said to be large if it contains a finite index subgroup which mapsonto a non-abelian free...
AbstractLet G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1...
AbstractLet S be a finite p-group. We say that an abelian subgroup A of S is a large abelian subgrou...
AbstractThis paper is part of a program to study the conjecture of E.C. Dade on counting characters ...
Let A be a finite group, and let p be a prime. Suppose that ps is the highest power of p dividing |A...
A classical conjecture in transformation group theory states that if G=(ℤ/p)r acts freely on a produ...
We investigate the possible structures imposed on a finite group by its possession of an automorphis...
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