This is the 532nd most frequent Icelandic word.
fylgi
Support or following.
Here, 'fylgis' is used to describe the concept of support or following in a political context.
Hún naut mikils fylgis meðal kjósenda.
She enjoyed significant support among voters.
In this context, 'fylgjast' relates to the action of accompanying someone.
Vill einhver fylgjast með mér út í búð?
Would someone like to accompany me to the store?
In this usage, 'fylgi' refers to accompanying documents or attachments.