AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class at most c. Does S possess a normal subgroup of order pn and class at most c? J. Alperin showed that the answer is negative in general. In this article, we show that the answer is affirmative if n is sufficiently small relative to p
We consider the class N of groups in which the normaliser of every subgroup is normal, and the class...
Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular eleme...
Let G be a finite p-group where p is an odd prime. We say that <? has property A n if every abeli...
AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class ...
AbstractSuppose p is a prime, P is a finite p-group, and A is an abelian subgroup of P. Does P posse...
Let G be a finite group, and let F be a formation of finite group. We say that a subgroup H of G is ...
We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three differ...
Abstract. We give a complete classification of finite p-groups all of whose noncyclic subgroups are ...
Let G be a finite group and N be a normal subgroup of G and suppose that the p-regular elements of ...
In this paper we continue the investigation originally initiated by Hobby on the three classes of fi...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
AbstractLet G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regul...
We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three differ...
Abstract. In this paper we show that a finite p-group which possesses non-normal subgroups and such ...
For n a positive integer, a group G is called core-n if H/H_G has order at most n for any subgroup H...
We consider the class N of groups in which the normaliser of every subgroup is normal, and the class...
Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular eleme...
Let G be a finite p-group where p is an odd prime. We say that <? has property A n if every abeli...
AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class ...
AbstractSuppose p is a prime, P is a finite p-group, and A is an abelian subgroup of P. Does P posse...
Let G be a finite group, and let F be a formation of finite group. We say that a subgroup H of G is ...
We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three differ...
Abstract. We give a complete classification of finite p-groups all of whose noncyclic subgroups are ...
Let G be a finite group and N be a normal subgroup of G and suppose that the p-regular elements of ...
In this paper we continue the investigation originally initiated by Hobby on the three classes of fi...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
AbstractLet G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regul...
We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three differ...
Abstract. In this paper we show that a finite p-group which possesses non-normal subgroups and such ...
For n a positive integer, a group G is called core-n if H/H_G has order at most n for any subgroup H...
We consider the class N of groups in which the normaliser of every subgroup is normal, and the class...
Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular eleme...
Let G be a finite p-group where p is an odd prime. We say that <? has property A n if every abeli...
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