jq: group and key by property

I have a list of objects that look like this:

[  {"ip": "1.1.1.1","component": "name1"  },  {"ip": "1.1.1.2","component": "name1"  },  {"ip": "1.1.1.3","component": "name2"  },  {"ip": "1.1.1.4","component": "name2"  }]

Now I'd like to group and key that by the component and assign a list of ips to each of the components:

{"name1": ["1.1.1.1","1.1.1.2"  ]},{"name2": ["1.1.1.3","1.1.1.4"  ]}