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
DOI: 10.5565/publmat_36192_15
Títulos paralelos:
- Subgrupo unitario de anillos de grupos enteros
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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.