A Primitive Ring Associated to a Burnside 3-Group

DOI10.1112/S0024610796004644zbMath0874.20028OpenAlexW2080070369WikidataQ130100193 ScholiaQ130100193MaRDI QIDQ4340941

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Publication date: 23 September 1997

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610796004644

zbMATH Keywords

irreducible representationsBurnside groupsmodular group algebrasprimitive just infinite-dimensional homomorphic imagesrooted regular ternary treessummation thinnings

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (19)

Unnamed Item ⋮ Self-similar groups, automatic sequences, and unitriangular representations ⋮ Fractal nil graded Lie superalgebras ⋮ Functionally recursive rings of matrices -- two examples ⋮ Fractal just infinite nil Lie superalgebra of finite width ⋮ DETERMINANTS RELATED TO DIRICHLET CHARACTERS MODULO 2, 4 AND 8 OF BINOMIAL COEFFICIENTS AND THE ALGEBRA OF RECURRENCE MATRICES ⋮ Self-similar associative algebras. ⋮ Representations of the Gupta-Sidki group ⋮ Unnamed Item ⋮ Branch rings, thinned rings, tree enveloping rings. ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ On the lower central series and the derived series of the gupta-sidki 3-group ⋮ On the representation of groups approximated by finite \(p\)-groups. ⋮ Projectively simple rings. ⋮ MAXIMAL SUBGROUPS OF SOME NON LOCALLY FINITE p-GROUPS ⋮ Nil Liep-algebras of slow growth ⋮ Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups ⋮ Automorphisms of one-rooted trees: growth, circuit structure, and acyclicity. ⋮ Algebras which are nearly finite dimensional and their identities

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