at the same or different carbon atoms with one two or more halogen nitro cyano hydroxy c 1 to c 6 alkoxy amino mono c i to c 4 alkylamino or di c 1 to c 4 alkylamino groups according to a further aspect of the invention a method for controlling tumors in humans and in mammals is provided and comprises administering at least one of the compounds of the general formula i and ii on which the invention is based to the human or a mammal in an amount effective for tumor treatment before or during a treatment with approved antitumor substances the therapeutically effective dose to be administered for the treatment of the particular compound of the general formula i and ii on which the invention is based depends inter alia on the nature and the stage of the oncosis the age and sex of the patient the mode of administration and the duration of treatment the compounds on which the invention are based can be administered in a drug product as liquid semisolid and solid drug forms this takes place in the manner suitable in each case in the form of aerosols oral powders dusting powders and epipastics uncoated tablets coated tablets emulsions foams solutions suspensions gels ointments pastes pills pastilles capsules or suppositories procedure the mammary carcinoma was induced by a single oral dose of dmba the animals received perifosine from day 0 to day 14 and were observed up to day 42 the weight of the tumor mass was estimated by palpation and comparison with plastic models the initial weight is set equal to 100.