The Classical Involution Theorem for Groups of Finite Morley Rank

A Generic Identification Theorem for L∗-groups of finite Morley rank

“…A very similar statement was given in [13], but the full proof of this important tool has not appeared previously. …”

“…In this section, we give a detailed account of the first of these identification theorems, combining [13] and [20].…”

A Generic Identification Theorem for Groups of Finite Morley Rank

“…This unifying theorem generalises [9], and considerably shortens some arguments in [12], but it is very different from [10] in the technique used. Besides its uniform approach, it has the advantage of avoiding references to Tits's classification of buildings, a very difficult result with a long proof which still exists only in Tits's original written account [25].…”

“…In particular, two distinct identification theorems based on different techniques appeared for the 'generic' groups of each type [9,10].…”

“…Most of the articles written on the subject after that are either an 'even-type article' (such as [1,[4][5][6]10]) or an 'odd-type article' (such as [9,12]). In particular, two distinct identification theorems based on different techniques appeared for the 'generic' groups of each type [9,10].…”