Well I yes I think she needs to inform him of any and every building project that she embarks on but no I don't think she needs to take his permission before she decides to do it. Personally I believe that in a marriage everything should be 50-50 and as such both partners should involve each other in the decision making process of whatever they want to do, especially if it's something big like building a house or anything of the sort.
What I don't agree with is having to take permission from your husband before you do something like erecting a building. If all the financial contributions of both parties have been met in the marriage then each person should be free to do whatever they want with their money, I mean just because she's a woman doesn't mean that she needs her husband's permission to spend her own money the way she sees fit.
Similarly I believe that if a man wants to erect a building then he ought to let his wife know, whether or not she's down with the idea is irrelevant, as long as he's fulfilled his role financially in the home on every front then he can do whatever he wants with his money. Ideally, before both parties embark on a building project, they're both supposed to talk to each other about it and decide if it will be beneficial to the family. If it in no way affects the family negatively then both parties should be free to do whatever they want.
I know that according to popular belief, it would be ok if the man did such without seeking permission from his wife, but not ok if the woman did the same thing but that's wrong. None of them need the others permission, they only need discuss things with each other and decide if it's worth it or not. If one party decides it's not worth it then it's up to the other to respect their wishes to not start the project, it shouldn't be a one sided affair in terms of who gives and gets permission for anything.
As long as both parties earn an income and both contribute to the growth of the family financially then if one person wants to erect a building then gender shouldn't have anything to do with it.
I hope this helps.
Asking permission? That sounds so wrong. A woman might ask you about your humble opinion. But she should never ever ask for your permission....What is she to you? Your slave? Your personal property?