Unitary subgroup of integral group rings

• Autores: A. A. Bovdi, Sudarshan K. Sehgal
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 1, 1992, págs. 197-204
• Idioma: inglés
• Títulos paralelos:
  • Subgrupo unitario de anillos de grupos enteros
• Enlaces
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• Resumen

  • Let A be a finite abelian group and G = A x ábñ, b2 = 1, ab = a-1, "a Î A. We find generators up to finite index of the unitary subgroup of ZG. In fact, the generators are the bicyclic units. For an arbitrary group G, let B2(ZG) denote the group generated by the bicyclic units. We classify groups G such that B2(ZG) is unitary.