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Labelling the character tables of symmetric and alternating groups
Mark Wildon
Let be a character table of the symmetric group . It is shown that unless or , there is a unique way to assign partitions of to the rows and columns of $X…
Factorisation of Lie Resolvents
R. M. Bryant, M. Schocker
Let be a group, a field of prime characteristic and a finite-dimensional -module. Let denote the free Lie algebra on , regarded as an -module, and…
The Decomposition of Lie Powers
R. M. Bryant, M. Schocker
Let G be a group, F a field of prime characteristic p and V a finite-dimensional FG-module. Let L(V) denote the free Lie algebra on V regarded as an FG-submodule of the free associ…
Modular Lie powers and the Solomon descent algebra
Karin Erdmann, Manfred Schocker
Let be an -dimensional vector space over an infinite field of prime characteristic , and let denote the -th homogeneous component of the free Lie algebra…