Add to ORKGA p-group G is p-central if Gp � Z(G), and G is p2-abelian if (xy)p2 = xp2 yp2 for all x; y ε G. We prove that for G a finite p2-abelian p-central p-group, excluding certain cases, the order of G divides the order of Aut(G). © 2012 University of Isfahan
AbstractIn this paper we study the longstanding conjecture of whether there exists a non-inner autom...
AbstractA well-known conjecture on p-groups states that every non-abelian p-group G has the property...
We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order...
Let G be a finite non-cyclic p-group of order at least p^3. If G has an abelian maximal subgroup, or...
In this thesis we are mainly concerned with the order of the group A(G) of automorphisms of a finite...
Let G be a finite non-cyclic p-group of order at least p3. If G has an abelian maximal subgroup, or ...
Let G be a finite non-cyclic p-group of order at least p3. If G has an abelian maximal subgroup, or ...
AbstractWe prove that for any prime number p, every finite non-abelian p-group G of class 2 has a no...
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G....
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G....
AbstractA well-known conjecture on p-groups states that every non-abelian p-group G has the property...
Let $G$ be a group and $Aut^{Phi}(G)$ denote the group of all automorphisms of $G$ centralizing $G/P...
AbstractWe determine the structure of Aut G and its relation to symplectic groups when G is a non-ab...
In this paper, we find various bounds for the group of all autocentral automorphisms of a finite gro...
In this paper we show that every finite nonabelian $p$-group $G$ in which the Frattini subgroup $Phi...
AbstractIn this paper we study the longstanding conjecture of whether there exists a non-inner autom...
AbstractA well-known conjecture on p-groups states that every non-abelian p-group G has the property...
We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order...
Let G be a finite non-cyclic p-group of order at least p^3. If G has an abelian maximal subgroup, or...
In this thesis we are mainly concerned with the order of the group A(G) of automorphisms of a finite...
Let G be a finite non-cyclic p-group of order at least p3. If G has an abelian maximal subgroup, or ...
Let G be a finite non-cyclic p-group of order at least p3. If G has an abelian maximal subgroup, or ...
AbstractWe prove that for any prime number p, every finite non-abelian p-group G of class 2 has a no...
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G....
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G....
AbstractA well-known conjecture on p-groups states that every non-abelian p-group G has the property...
Let $G$ be a group and $Aut^{Phi}(G)$ denote the group of all automorphisms of $G$ centralizing $G/P...
AbstractWe determine the structure of Aut G and its relation to symplectic groups when G is a non-ab...
In this paper, we find various bounds for the group of all autocentral automorphisms of a finite gro...
In this paper we show that every finite nonabelian $p$-group $G$ in which the Frattini subgroup $Phi...
AbstractIn this paper we study the longstanding conjecture of whether there exists a non-inner autom...
AbstractA well-known conjecture on p-groups states that every non-abelian p-group G has the property...
We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order...