6533b874fe1ef96bd12d6391
RESEARCH PRODUCT
On finite minimal non-nilpotent groups
Derek J. S. RobinsonAdolfo Ballester-bolinchesRamon Esteban-romerosubject
Pure mathematicsFinite groupPst-groupMathematical societyApplied MathematicsGeneral MathematicsGrups Teoria deSchmidt groupSylow subgroupSylow-permutable subgroupAlgebraMinimal non-nilpotent groupNilpotentCritical groupÀlgebraAlgebra over a fieldFinite groupClass of finite groupsMATEMATICA APLICADACritical groupVolume (compression)Mathematicsdescription
[EN] A critical group for a class of groups X is a minimal non-X-group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol¿fand¿s theorem on maximal Schmidt groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-06-08 |