dnd 5e – Is it possible for 2 (or more) wizards to share a spell book?

I have an idea of ​​the party in which a group of eager to learn young apprentices leave their tower of teachers after becoming impatient with their teaching method. But they just remember to take a book of spells, and they just decide to go with him. Is there any rule that prevents this? Or any problem that may arise from a situation like this?