• Alphabet shares slid 4% Thursday, following news that the Department of Justice is calling for Google to divest its Chrome browser to put an end to its search monopoly.

Alphabet shares closed down 4% Thursday, following news that the Department of Justice is calling for Google to divest its Chrome browser to put an end to its search monopoly.

The proposed break-up would, according to the DOJ in its Wednesday filing, "permanently stop Google's control of this critical search access point and allow rival search engines the ability to access the browser that for many users is a gateway to the internet."

This development is the latest in a years-long, bipartisan antitrust case that found in an August ruling that the search giant held an illegal monopoly in both search and text advertising, violating Section 2 of the Sherman Act.

The potential break-up would include preventing Google from entering into exclusionary agreements with competitors like Apple and Samsung, part of a set of remedies that would last 10 years.

CNBC's Jennifer Elias contributed to this report.

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