This study is done to find out whether the medicine, semaglutide, has a positive effect on early Alzheimer's disease. Participants will either get semaglutide or placebo (a "dummy" medicine which does not contain any study medicine) - which treatment participants get is decided by an equal chance. The study will last for up to 173 weeks (about 3 years and 4 months). Participants will have 17 clinic visits and 1 phone call with the study doctor. The study includes various tests and scans. At 10 of the clinic visits participants will have blood samples taken. Participants must have a study partner, who is willing to take part in the study. Women cannot take part if pregnant, breastfeeding or plan to become pregnant during the study period. A cerebrospinal fluid (CSF) sub-study will be performed as a part of the study. The sub-study will be performed on a selection of sites based on their experience with CSF sampling and willingness to participate in this sub-study. The endpoints related to this sub-study are exploratory only.
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Change in the Clinical Dementia Rating - Sum of Boxes (CDR-SB) score
Timeframe: From baseline (week 0) to week 104