Determination of the uniserial space groups with a given coclass

• Autores: Bettina Erick
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 3, 2005, págs. 622-642
• Idioma: inglés
• DOI: 10.1112/s0024610705006332
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• Resumen

  • The uniserial -adic space groups of coclass play a central role in the classification of the finite -groups of coclass . A practical algorithm to determine up to isomorphism the uniserial -adic space groups of coclass , where is an odd prime, is described. As an application, these groups are constructed or counted for some values on and . For example, it is observed that there are 137 299 953 383 uniserial 3-adic space groups of coclass 4.