He was taken into custody on probable cause on suspicion of murder, prosecutor Anna Lundberg says.
She does not want to comment on how the woman was killed.
Right now, we are in an intensive phase of the investigation and it is confidential, so I will not go into those details.
The woman was found seriously injured in a home on Saturday evening. She was treated at a hospital, but died of her injuries on Monday evening.
On Tuesday afternoon, a 35-year-old man was arrested on probable cause for the murder. He was known to the woman and was arrested at the scene.
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