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Restricted Lazard elimination and modular Lie powers

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Publication:2765557
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DOI10.1017/S1446788700002901zbMath1042.17003MaRDI QIDQ2765557

Ralph Stöhr

Publication date: 2001

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


zbMATH Keywords

moduleLazard eliminationrestricted free Lie algebra


Mathematics Subject Classification ID

Modular representations and characters (20C20) Identities, free Lie (super)algebras (17B01)


Related Items

Factorisation of Lie resolvents, On Lie powers of the augmentation ideal in characteristic \(2\), Bases, filtrations and module decompositions of free Lie algebras, On Lie powers of regular modules in characteristic 2., Lie powers of modules for \(\text{GL}(2,p)\).



Cites Work

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  • Module structure of the free Lie ring on three generators
  • Invariant bases for free Lie algebras
  • Lie powers of the natural module for \(\text{GL}(2)\)
  • Integral Lie powers of a lattice for the cyclic group of order 2
  • Fixed points of automorphisms of free Lie algebras
  • On the module structure of free Lie algebras
  • A conjecture about free lie algebras
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