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It was proven that finitely generated virtually free groups are stable in permutations. In this note we show that a similar strategy can be used to prove that finitely generated virtually free groups are stable with respect to a normalized p p -Schatten norm for 1 ≤ p > ∞ 1≤ p > ∞ . In particular, this implies that virtually free groups are Hilbert-Schmidt stable.
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Gerasimova et al. (2023) studied this question.
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