Groups which satisfy commutator relations of the type satisfied by Chevalley groups, called here "groups with Steinberg relations", are shown to have certain nonassociative division algebras as parameters. This, in turn, allows an introduction of coordinates into certain polygon…
1. Verbal embeddings. 1.1 Introduction. 1.2. Basic theorems. 1.3. General verbal embeddings -- 2. Linkage graphs and linkage groups. 2.1. Linkage graphs and linkage groups. 2.2. Linkage graphs From verbal embeddings. 2.3. Steinberg groups and graphs. 2.4. Constant groups that ca…
The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This book generalizes these sorts of relations. To encode these relations one needs a ring and a so-called linkage graph which specifies exactly which commutato…
