The following basic results on infinite locally finite subgroups of a free m-gener-Ε½ . ## 48 ator Burnside group B m, n of even exponent n, where m ) 1 and n G 2 , n is divisible by 2 9 , are obtained: A clear complete description of all infinite groups that Ε½ . Ε½ . are embeddable in B m, n as ma
β¦ LIBER β¦
On Finite Groups of p-Local Rank One and Conjectures of Dade and Robinson
β Scribed by Charles W Eaton
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 153 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We use the classification of finite simple groups to demonstrate that Conjecture Ε½ Ε½ . . 4.1 of G. R. Robinson 1996, Proc. London Math. Soc. 3 72, 312α330 and Dade's projective conjecture hold for finite groups of p-local rank one.
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Partially supported by the research funds of Ministero dell'Uni¨ersita e della Ricerca Scientifica e Tecnologica and by Grant 9300856.CT01 of Consiglio Nazionale delle Ricerche.