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arXiv · 2211.05406

Tate-Shafarevich groups and algebras

Boris Kunyavskii·Vadim Z. Ostapenko
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Abstract

The Tate-Shafarevich set of a group G defined by Takashi Ono coincides, in the case where G is finite, with the group of outer class-preserving automorphisms of G introduced by Burnside. We consider analogues of this important group-theoretic object for Lie algebras and associative algebras and establish some new structure properties thereof. We also discuss open problems and eventual generalizations to other algebraic structures.

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Boris Kunyavskii, Vadim Z. Ostapenko. 2022-11-10. Tate-Shafarevich groups and algebras. https://doi.org/10.1142/s0218196723500364

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