6533b7dcfe1ef96bd1272ac4
RESEARCH PRODUCT
Fittingmengen und lockettabschnitte
Joachim Pensesubject
CombinatoricsClass (set theory)Algebra and Number TheoryConjectureSection (category theory)Literal translationMathematicsdescription
Abstract The theory of Lockett sections is transferred from Fitting classes to Fitting sets. This in general works only partially; in some special groups (which I call “mobility” groups), however, among these the stable linear groups, a literal translation of the Fitting class theory is possible. As the groups relevant in outer Fitting pairs actually are mobility groups, a new way of deriving information on the Lockett section of a Fitting class arises. This is used to present a simplified, if nonsoluble, counter-example to Lockett's conjecture and to decide a related question. Also, an approach to generating Fitting classes is given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-08-01 | Journal of Algebra |