9.32 (1984)

Solved

What locally compact groups satisfy the following condition: the product of any two closed subgroups is also a closed subgroup? Abelian groups with this property were described in (Yu. N. Mukhin, Math. Notes, 8 (1970), 755–760).

Progress

Such groups are described (W. Herfort, K. H. Hofmann, F. G. Russo, Adv. Math., 390 (2021), 107894).

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