Abstract.
We offer short proofs of such basic results of finite
p-group theory as theorems of Blackburn, Huppert, Ito-Ohara,
Janko, Taussky. All proofs of those theorems are based on the
following result: If G is a nonabelian metacyclic p-group and
R is a proper G-invariant subgroup of G', then
2000 Mathematics Subject Classification. 20D15.
Key words and phrases. Finite p-groups, metacyclic p-groups, minimal nonabelian p-groups, p-groups of maximal class, regular and absolutely regular p-groups, powerful p-groups.
DOI: 10.3336/gm.41.2.07
References:
Ako želite spremiti trajne postavke, kliknite Spremi, ako ne - vaše će se postavke poništiti kad zatvorite preglednik.