-semipermutable subgroups of finite groups.
Caratterizzazione dei gruppi risolubili d'ordine finito complementati
Catene pronormali nei gruppi finiti supersolubili
CLT and non-CLT groups of order
Complements of the socle in almost simple groups
Conditions for p-supersolubility and p-nilpotency of finite soluble groups
Let ℨ be a complete set of Sylow subgroups of a group G. A subgroup H of G is called ℨ-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some ℨ-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.
Crossed product of cyclic groups
All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.