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Big free groups are almost free

    https://doi.org/10.1142/S0218196715500216Cited by:1 (Source: Crossref)

    It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism. This statement is in fact a simple corollary of the more general result proven below on the extendability of homomorphisms from subgroups (of a certain kind) of the big free group to a compact topological group.

    AMSC: 20E05, 20E18, 57M05
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