Add to ORKGWe prove a cohomological property for a class of finite \(p\)-groups introduced earlier by M. Y. Xu, which we call semi-abelian \(p\)-groups. This result implies that a semi-abelian \(p\)-group has non inner automorphisms of order \(p\), which settles a longstanding problem for this class. We answer also, independently, an old question of M. Y. Xu about the power structure of semi-abelian \(p\)-groups. DOI: 10.1017/S000497271400080
AbstractWe determine the structure of Aut G and its relation to symplectic groups when G is a non-ab...
The theory of abelian categories proved very useful, providing an ax-iomatic framework for homology ...
In this paper we prove that every non-abelian finite 2-group with a cyclic commutator subgroup has a...
AbstractIn this paper we study the longstanding conjecture of whether there exists a non-inner autom...
<正> In [1] we defined semi-p-abelian p-groups and studied the connection between the semi-p-co...
It is shown that if \(G\) is a finite \(p\)-group of coclass 2 with \(p\) > 2, then \(G\) has a noni...
Let \(G\) be a nonabelian finite \(p\)-group of order \(p^m\). A longstanding conjecture asserts tha...
An automorphism of a group G is called almost inner if (g) is conjugate to g in G for any g 2 G. Ob...
This paper deals with an old problem: are there nontrivial finite p-groups which are isomorphic to t...
The book describes developments on some well-known problems regarding the relationship between order...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
and its automorphism group Aut G in the case when the latter is finite. (For a brief summary of the ...
Let A be a finitely generated abelian group. We describe the automorphism group Aut(A) using the ran...
In this paper, we classify the finite p-groups all of whose non-abelian proper subgroups are metacyc...
A long-standing conjecture asserts that every finite nonabelian $p$-group has a non-inner automorphi...
AbstractWe determine the structure of Aut G and its relation to symplectic groups when G is a non-ab...
The theory of abelian categories proved very useful, providing an ax-iomatic framework for homology ...
In this paper we prove that every non-abelian finite 2-group with a cyclic commutator subgroup has a...
AbstractIn this paper we study the longstanding conjecture of whether there exists a non-inner autom...
<正> In [1] we defined semi-p-abelian p-groups and studied the connection between the semi-p-co...
It is shown that if \(G\) is a finite \(p\)-group of coclass 2 with \(p\) > 2, then \(G\) has a noni...
Let \(G\) be a nonabelian finite \(p\)-group of order \(p^m\). A longstanding conjecture asserts tha...
An automorphism of a group G is called almost inner if (g) is conjugate to g in G for any g 2 G. Ob...
This paper deals with an old problem: are there nontrivial finite p-groups which are isomorphic to t...
The book describes developments on some well-known problems regarding the relationship between order...
A longstanding conjecture asserts every finite nonabelian \(p\)-group has a noninner automorphism ...
and its automorphism group Aut G in the case when the latter is finite. (For a brief summary of the ...
Let A be a finitely generated abelian group. We describe the automorphism group Aut(A) using the ran...
In this paper, we classify the finite p-groups all of whose non-abelian proper subgroups are metacyc...
A long-standing conjecture asserts that every finite nonabelian $p$-group has a non-inner automorphi...
AbstractWe determine the structure of Aut G and its relation to symplectic groups when G is a non-ab...
The theory of abelian categories proved very useful, providing an ax-iomatic framework for homology ...
In this paper we prove that every non-abelian finite 2-group with a cyclic commutator subgroup has a...