Let G be a finite non-cyclic p-group of order at least p^3. If G has an abelian maximal subgroup, or if G has an elementary abelian centre and is not strongly Frattinian, then the order of G divides the order the its automorphism group
Let L be a metacyclic p-group, p > 2, without cyclic subgroups of index p and let a Aut(L) be of ord...
We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5)...
Let G be a finite p-group which has exactly one maximal subgroup H such that |H\u27|>p. Then we have...
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 ...
In this thesis we are mainly concerned with the order of the group A(G) of automorphisms of a finite...
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G....
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 and $Aut^{Phi}(G)$ denote the group of all automorphisms of $G$ centralizing $G/P...
A 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. ...
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G....
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...
A long-standing conjecture asserts that every finite nonabelian $p$-group has a non-inner automorphi...
AbstractA well-known conjecture on p-groups states that every non-abelian p-group G has the property...
Let L be a metacyclic p-group, p > 2, without cyclic subgroups of index p and let a Aut(L) be of ord...
We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5)...
Let G be a finite p-group which has exactly one maximal subgroup H such that |H\u27|>p. Then we have...
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 ...
In this thesis we are mainly concerned with the order of the group A(G) of automorphisms of a finite...
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G....
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 and $Aut^{Phi}(G)$ denote the group of all automorphisms of $G$ centralizing $G/P...
A 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. ...
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G....
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...
A long-standing conjecture asserts that every finite nonabelian $p$-group has a non-inner automorphi...
AbstractA well-known conjecture on p-groups states that every non-abelian p-group G has the property...
Let L be a metacyclic p-group, p > 2, without cyclic subgroups of index p and let a Aut(L) be of ord...
We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5)...
Let G be a finite p-group which has exactly one maximal subgroup H such that |H\u27|>p. Then we have...
DOI
Add to ORKG