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Thank you black_beard for your answer.
First, i need to precise that i'm using xoops 2.5.4 (didn't have time yet to update), and that i'm not speaking abour user management in system module, but i'm speaking of "Profile module version 1.62".
1/ For the first point, i look to your post, but it hink i do not have problem with recording. My problem is more about the fact to be able to choose following options for profile fields :
=> Show/hide a field (just show - not editing): is it the same as the permission "make users able to look for this field" ? i don't think...
=> Edit a field : Ok with this one : it show the field... but unfortunately user can edit it...
2/ I found a solution in the table profile_visible : i deleted all lines about the fields id corresponding to the fields i didn't want to show (but if i want to come back, it will certainly be more complicated :))