Having the copyrighter's permission - yeah, directive - to edit the work as such, you are probably free from any legal penalties. All
previous authors had to agree with a similar arrangement, in order for the copyright holder to attribute the work to another. Insist from the publisher a hand written statement to this effect. He only
has the right to copy and/or abridge the work - and not to fully attribute it to another without all previous authors' permission.
That being said, submit your editing without any attribution, do not put you name to it, the publisher knows who is who, let him edit the credits as he will.
Caveat: You cannot contract contrary to law.