# Unitary subgroup of integral group rings.

Adalbert A. Bovdi; Sudarshan K. Sehgal

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 1, page 197-204
- ISSN: 0214-1493

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topBovdi, Adalbert A., and Sehgal, Sudarshan K.. "Unitary subgroup of integral group rings.." Publicacions Matemàtiques 36.1 (1992): 197-204. <http://eudml.org/doc/41158>.

@article{Bovdi1992,

abstract = {Let A be a finite abelian group and G = A x 〈b〉, b2 = 1, ab = a-1, ∀a ∈ 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.},

author = {Bovdi, Adalbert A., Sehgal, Sudarshan K.},

journal = {Publicacions Matemàtiques},

keywords = {Familias de subgrupos; Grupo unitario; Anillos; Generadores; finitely generated subgroups; unit group; integral group ring; bicyclic units; dihedral; finite index},

language = {eng},

number = {1},

pages = {197-204},

title = {Unitary subgroup of integral group rings.},

url = {http://eudml.org/doc/41158},

volume = {36},

year = {1992},

}

TY - JOUR

AU - Bovdi, Adalbert A.

AU - Sehgal, Sudarshan K.

TI - Unitary subgroup of integral group rings.

JO - Publicacions Matemàtiques

PY - 1992

VL - 36

IS - 1

SP - 197

EP - 204

AB - Let A be a finite abelian group and G = A x 〈b〉, b2 = 1, ab = a-1, ∀a ∈ 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.

LA - eng

KW - Familias de subgrupos; Grupo unitario; Anillos; Generadores; finitely generated subgroups; unit group; integral group ring; bicyclic units; dihedral; finite index

UR - http://eudml.org/doc/41158

ER -

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