6533b85ffe1ef96bd12c1bc3

RESEARCH PRODUCT

A question from the Kourovka Notebook on formation products

Adolfo Ballester-bolinchesClara CalvoRamon Esteban Romero

subject

Finite groupPure mathematicsClass (set theory)Relation (database)Saturated formationComposition formationGeneral MathematicsX-local formationMatemàtica aplicadaOmega-saturated formationSimple groupProduct (mathematics)X-saturated formationFinite groupMATEMATICA APLICADAMathematics

description

[EN] It is shown in this paper that if X is a class of simple groups such that pi(X) = char X, the X-saturated formation H generated by a finite group cannot be expressed as the Gaschütz product F o G of two non-X-saturated formations if H = G. It answers some open questions on products of formations. The relation between omega-saturated and X-saturated formations is also discussed.

yearjournalcountryeditionlanguage
2003-12-01
10.1017/s0004972700037862https://doi.org/10.1017/s0004972700037862