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2007.177: Involutions in groups of finite Morley rank degenerate type

2007.177: Alexandre Borovik, Jeffrey Burdges and Gregory Cherlin (2007) Involutions in groups of finite Morley rank degenerate type. Selecta Mathematica, 13 (1). pp. 1-22. ISSN 1420-9020

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DOI: 10.1007/s00029-007-0030-z

Abstract

In a connected group of finite Morley rank, if the Sylow 2-subgroups are finite then they are trivial. The proof involves a combination of model-theoretic ideas with a device originating in black box group theory.

Item Type:Article
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 20 Group theory and generalizations
MIMS number:2007.177
Deposited By:Mrs Louise Healey
Deposited On:19 November 2007

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