Search results for "Schmidt group"

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On finite minimal non-nilpotent groups

2005

[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.

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)Mathematics
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