Sylow theory for p=0 in solvable groups of finite Morley rank

Burdges, Jeffrey (2006) Sylow theory for p=0 in solvable groups of finite Morley rank. Journal of Group Theory, 9 (4). pp. 467-481. ISSN 1435-4446

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Abstract

The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin–Zil'ber conjecture, states that simple groups of finite Morley rank are simple algebraic groups over algebraically closed fields. In the last fifteen years, the main line of attack on this problem has been Borovik's program of transferring methods from finite group theory, which has led to considerable progress; however, the conjecture itself remains completely open. In Borovik's program, groups of finite Morley rank are divided into four types, odd, even, mixed, and degenerate, according to the structure of their Sylow 2-subgroup. For even and mixed type the algebraicity conjecture has been proven.

Item Type:	Article
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations
Depositing User:	Ms Lucy van Russelt
Date Deposited:	05 Apr 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/768

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