Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table?

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Tate–Shafarevich groups and algebras ⋮ Bogomolov multiplier of Lie algebras

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Word maps, word maps with constants and representation varieties of one-relator groups
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Camina Lie algebras
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Lie algebras of vector fields on smooth aﬃne varieties
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Convergent Sequences in Discrete Groups
BOGOMOLOV MULTIPLIERS OF P-GROUPS OF MAXIMAL CLASS
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Some Results and Problems in the Theory of Word Maps
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GROUPS OF AUTOMORPHISMS OF INFINITE-DIMENSIONAL SIMPLE LIE ALGEBRAS
Some Remarks on Commutators

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