Let $G$ be a group and $Aut^{Phi}(G)$ denote the group of all automorphisms of $G$ centralizing $G/Phi(G)$ elementwise. In this paper, we characterize the finite $p$-groups $G$ with cyclic Frattini subgroup for which $|Aut^{Phi}(G):Inn(G)|=p$
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
summary:Let $\alpha $ and $\beta $ be automorphisms of a nilpotent $p$-group $G$ of finite rank. Sup...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
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 finite non-cyclic p-group of order at least p^3. 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 ...
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 finite non-cyclic p-group of order at least p3. If G has an abelian maximal subgroup, or ...
In this paper we show that every finite nonabelian $p$-group $G$ in which the Frattini subgroup $Phi...
Nasrabadi and Farimani [Indag. Math. (N. S.) 26(2015), 137-141] have given necessary and sufficient ...
In this thesis we are mainly concerned with the order of the group A(G) of automorphisms of a finite...
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. ...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
Let L be a metacyclic p-group, p > 2, without cyclic subgroups of index p and let a Aut(L) be of ord...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
summary:Let $\alpha $ and $\beta $ be automorphisms of a nilpotent $p$-group $G$ of finite rank. Sup...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
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 finite non-cyclic p-group of order at least p^3. 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 ...
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 finite non-cyclic p-group of order at least p3. If G has an abelian maximal subgroup, or ...
In this paper we show that every finite nonabelian $p$-group $G$ in which the Frattini subgroup $Phi...
Nasrabadi and Farimani [Indag. Math. (N. S.) 26(2015), 137-141] have given necessary and sufficient ...
In this thesis we are mainly concerned with the order of the group A(G) of automorphisms of a finite...
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. ...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
Let L be a metacyclic p-group, p > 2, without cyclic subgroups of index p and let a Aut(L) be of ord...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
summary:Let $\alpha $ and $\beta $ be automorphisms of a nilpotent $p$-group $G$ of finite rank. Sup...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
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