A Fitting set is elementary if it consists of the subnormal subgroups of the conjugates of a given subgroup. In this paper we analyse the structure of the finite solvable groups in which every Fitting set is the union of elementary Fitting sets whose intersection is 1.
Solvable finite groups with a particular configuration of Fitting sets / D. Bubboloni. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1720-0768. - STAMPA. - s.9, vol 6:(1995), pp. 13-22.
Solvable finite groups with a particular configuration of Fitting sets
BUBBOLONI, DANIELA
1995
Abstract
A Fitting set is elementary if it consists of the subnormal subgroups of the conjugates of a given subgroup. In this paper we analyse the structure of the finite solvable groups in which every Fitting set is the union of elementary Fitting sets whose intersection is 1.
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