The most important inhibitory neurotransmitter in human brains, gamma-amino butyric acid (GABA), and the gastroprotective natural product AI-77-B are two prominent examples for gamma-amino acids. In the thesis here present a flexible stereoselective synthesis of alpha-hydroxy-gamma-amino acids was developed. The aim was to get an access to new GABA-analogs, which dispose of promissing potential in pain treatment, and to lipophilic derivatives of AI-77-B. Starting from allylic sulfoximines the desired alpha-hydroxy-gamma-amino acids could be obtained with up to 34% yield over six steps. The key steps were a titanium mediated hydroxyalkylation reaction under selective construction of two stereo centers and a double bond, a highly diastereoselective aza-Michael-cyclisation and the creation of the acid moiety by oxidative degradation of a furan ring. The employed chiral auxiliary (S)-N,S-dimethyl-S-phenylsulfoximine could be recovered as a sulfinamide isolated in enantiomerically pure form. There are literature known methods for its transformation into the starting chiral auxiliary. Moreover a new one step method for the cleavage of the sulfoximine moiety under introduction of an iodine atom was developed. Considering the multifaceted chemistry of iodine compounds, especially in regard to C-C-bond formation, this opens up a multitude of new possibilities. The newly developed method has already found further application in our research group. Within the research about furan derivatives the idea to replace the oxygen heterocycle with a nitrogen heterocycle, namely pyrrole, was born. This would allow for a short synthesis of gamma-lactams, the cyclic analoga of gamma-amino acids. Gamma-lactams are a class of highly interesting compounds. The structural motive can be found frequently in nature and also pharmacologically active compounds are among them. Possible pathways to achieve this synthesis were shown. A further topic of this thesis were synthesis and structure elucidation of new cyclic aminosulfoxonium ylides. Homoallylic sulfoximines were activated by N-methylation. Treatment with base induced a five-step one-pot domino reaction in the course of which two new ring systems were established stereoselectively. The proposed structures were confirmed by X-ray structure analysis of a very similar compound. Compounds of this type could serve as building blocks for highly substituted cyclopentanones. The performance of the versatile sulfoximine chiral auxiliary for asymmetric syntheses was clearly demonstrated by means of described examples.