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- W4300575057 abstract "Some new results on metric ultraproducts of finite simple groups are presented. Suppose that G is such a group, defined in terms of a non-principal ultrafilter {omega} on N and a sequence {(G_i)_{i in N}} of finite simple groups, and that G is neither finite nor a Chevalley group over an infinite field. Then G is isomorphic to an ultraproduct of alternating groups or to an ultraproduct of finite simple classical groups. The isomorphism type of G determines which of these two cases arises, and, in the latter case, the {omega}-limit of the characteristics of the groups Gi. Moreover G is a complete path-connected group with respect to the natural metric on G." @default.
- W4300575057 created "2022-10-03" @default.
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- W4300575057 date "2014-02-03" @default.
- W4300575057 modified "2023-10-16" @default.
- W4300575057 title "Metric ultraproducts of finite simple groups" @default.
- W4300575057 doi "https://doi.org/10.48550/arxiv.1402.0341" @default.
- W4300575057 hasPublicationYear "2014" @default.
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