Category Archive Page

I am working on a wordpress install that revolves around the categories. Each category has a custom front page following the category-nicename.php template naming file. This custom category page displays only some of the posts for the category and tags used in that category. I am trying to create a link so I can have an archive page for a specific category that I can link to from the category-nicename.php set up in a similar to index.php or archives.php

You can see the example of the page at https://dev.hmjapan.org/?cat=3