Factorizations of Finite Groups.
Finite groups in which Sylow normalizers have nilpotent Hall supplements.
Finite groups in which -quasinormality is a transitive relation
Finite groups with -quasinormal subgroups.
Finite groups with Hall supplements to primitive subgroups.
Finite Groups with some -Permutably Embedded and Weakly -Permutable Subgroups
Let be a finite group, the smallest prime dividing the order of and a Sylow -subgroup of with the smallest generator number . There is a set of maximal subgroups of such that . In the present paper, we investigate the structure of a finite group under the assumption that every member of is either -permutably embedded or weakly -permutable in to give criteria for a group to be -supersolvable or -nilpotent.
Finite groups with weakly -semipermutable subgroups
Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups
Suppose G is a finite group and H is a subgroup of G. H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup of G contained in H such that G = HT and ; H is called weakly s-supplemented in G if there is a subgroup T of G such that G = HT and , where is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We investigate the influence of the existence of s-permutably embedded and weakly s-supplemented...
Finite simple groups with complemented maximal subgroups.
Frobenius groups generated by two elements of order 3.
Frobenius Subgroups of Free Products of Prosolvable Groups.
-covering systems of subgroups for the class of supersoluble groups.
Gruppi con pochi sottogruppi non quasinormali
Gruppi fattorizzati da sottogruppi ciclici
Gruppi finiti con molti sottogruppi seminormali
Un sottogruppo di un gruppo è chiamato seminormale se è permutabile con ogni sottogruppo di un conveniente supplemento di in (X. SU [2]). Nel nostro lavoro vengono caratterizzati tutti i gruppi finiti in cui ogni sottogruppo di Sylow è seminormale. Viene anche dimostrato che ogni -gruppo finito ( primo dispari) in cui ogni sottogruppo di Sylow è seminormale gode della proprietà che tutti i suoi sottogruppi sono a due a due permutabili.
Involutory decomposition of a group and twisted subsets with few involutions.
Local classes and pairwise mutually permutable products of finite groups.
Lokale Formationen endlicher Gruppen.
Maximal subgroups and PST-groups
A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp. PST-groups). PT-, PST- and T-groups, or groups in which normality is transitive, have been extensively studied and characterised. Kaplan [Kaplan G., On T-groups, supersolvable...
Mutually permutable products of two nilpotent groups