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- W2950403783 abstract "We prove that every free group G with infinitely many generators admits a Hausdorff group topology T with the following property: for every T-open neighbourhood U of the identity of G, each element g in G can be represented as a product g=g_1 g_2 ... g_k such that the cyclic group generated by each g_i is contained in U. In particular, G admits a Hausdorff group topology with the small subgroup generating property of Gould. This provides a positive answer to a question of Comfort and Gould in the case of free groups with infinitely many generators. The case of free groups with finitely many generators remains open." @default.
- W2950403783 created "2019-06-27" @default.
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- W2950403783 date "2019-02-03" @default.
- W2950403783 modified "2023-09-27" @default.
- W2950403783 title "SSGP topologies on free groups of infinite rank." @default.
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