1,720,999 research outputs found
Regular subgroups of affine group and radical circle algebras
No full textWe establish a link between regular subgroups of the affine group and radical circle algebras on the underlying vector space. * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
Alcuni Aspetti dei Gruppi con Classi di Coniugio Finite
No full textQuesti appunti nascono da corsi e cicli di seminari tenuti dagli autori nell'Università del Salento e nell'Università di Napoli Federico II e da numerose conversazioni tra gli autori stessi su una teoria - quella dei gruppi con classi di coniugio finite - che a distanza di settanta anni dalla sua nascita rimane vitale e ricca di problemi ancora da risolvere.
La trattazione non ha pretese di completezza, ma vuole fornire gli strumenti essenziali della teoria ed alcuni suoi recenti sviluppi, suggerendo possibili ulteriori ricerche
Construction of quasi-linear left cycle sets
No full textIn this paper, we produce a method to construct quasi-linear left cycle sets A with Rad(A) contained in Fix(A)
Some Topics in the Theory of Groups with Finite Conjugacy Classes
No full textThese notes come from courses and seminars given by the authors at the University of Salento and at the University of Napoli "Federico II", and from several conversations between the authors themselves on a theory - that of groups with finite conjugacy classes - that seventy years after its birth remains vital and full of problems still to be solved. There are two relevant monographs on the theory of FC-groups, one due to Y.M. Garcakov and the order to M.J. Tomkinson, but both of them go back to over thirty years ago, and since then many new contributions have brought new light to the existing problems and posed new relevant questions. Our treatment has no claim to completeness, but is intended to provide the essential tools to the theory and some of its recent developments, suggesting possible further research topics
A note on strong lie derived length of group algebras
No full textFor a group algebra KG of a non-abelian group G over a field K of positive characteristic p we study the strong Lie derived length of the associated Lie algebra
A note on the tensor product of Lie soluble algebras
No full textD.M. Riley proved in [3] that, if A and B are either Lie nilpotent or Lie metabelian algebras, then their tensor product is Lie soluble and obtained bounds on the Lie derived length of . The aim of the present note is to improve Riley's bounds; moreover we consider also the cases in which A and B are either strongly Lie soluble or strong Lie nilpotent algebras
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