Titlebook: Generators and Relations in Groups and Geometries; A. Barlotti,E. W. Ellers,K. Strambach Book 1991 Kluwer Academic Publishers 1991 Algebra

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2-Generation of finite simple groups and some related topicswhich centers around Steinberg’s unified treatment of groups of Lie type. In §2 we discuss generation of simple groups by special kinds of generating pairs, namely: 1) the generation of simple groups of Lie type by a cyclic maximal torus and a long root element, with application to the solution of t

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Book 1991nd relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into

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Farhad Analoui,Joseph Kwadwo Danquahnd shears. The orthogonal group yields a second outstanding set of generators, namely the set of all orthogonal involutions..We shall report on the solution of the length problem for a number of classical groups. We shall discuss whenever possible different generating sets and the resulting difference in the length of an element.

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