Antiperspirants and deodorants
Antiperspirants and deodorants are the major modern technology of body odor control.
Deodorants fight (or mask) the odor itself. Some of them are also claimed to suppress bacteria, without being able to exterminate them.
Antiperspirants attack the problem from another angle: they block sweating. This seems to be not a good idea to many. Rumors blame antiperspirants for skin and breast cancer. Medical sources fiercely deny the worst, but sometimes admit connection between antiperspirants and "harmless" skin lumps.
There are other concerns, too, including allergy. Scientifically this group of problems is often called contact dermatitis. Specialist, however, may express very different opinions about it. Compare that The Internet Dermatology Society and The American Academy of Dermatology have posted regarding the same issue.
The government is represented by US Food and Drug Administration. Antiperspirants and deodorants fall into the scope of its Center for Food Safety and Applied Nutrition (CSFAN), being considered cosmetics. FDA's documents library is searchable, and contains lots of interesting data. Consider their publication on contact dermatitis, for example.
The most relevant industry alliance seems to be Cosmetic, Toiletry and Fragrance Association (CTFA).