# Torsion matrices over commutative integral group rings.

Gregory T. Lee; Sudarshan K. Sehgal

Publicacions Matemàtiques (2000)

- Volume: 44, Issue: 2, page 359-367
- ISSN: 0214-1493

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topLee, Gregory T., and Sehgal, Sudarshan K.. "Torsion matrices over commutative integral group rings.." Publicacions Matemàtiques 44.2 (2000): 359-367. <http://eudml.org/doc/41403>.

@article{Lee2000,

abstract = {Let ZA be the integral group ring of a finite abelian group A, and n a positive integer greater than 5. We provide conditions on n and A under which every torsion matrix U, with identity augmentation, in GLn(ZA) is conjugate in GLn(QA) to a diagonal matrix with group elements on the diagonal. When A is infinite, we show that under similar conditions, U has a group trace and is stably conjugate to such a diagonal matrix.},

author = {Lee, Gregory T., Sehgal, Sudarshan K.},

journal = {Publicacions Matemàtiques},

keywords = {Grupos de matrices; Anillos conmutativos; integral group rings; torsion matrices; finite Abelian groups; Sylow subgroups; Zassenhaus conjectures},

language = {eng},

number = {2},

pages = {359-367},

title = {Torsion matrices over commutative integral group rings.},

url = {http://eudml.org/doc/41403},

volume = {44},

year = {2000},

}

TY - JOUR

AU - Lee, Gregory T.

AU - Sehgal, Sudarshan K.

TI - Torsion matrices over commutative integral group rings.

JO - Publicacions Matemàtiques

PY - 2000

VL - 44

IS - 2

SP - 359

EP - 367

AB - Let ZA be the integral group ring of a finite abelian group A, and n a positive integer greater than 5. We provide conditions on n and A under which every torsion matrix U, with identity augmentation, in GLn(ZA) is conjugate in GLn(QA) to a diagonal matrix with group elements on the diagonal. When A is infinite, we show that under similar conditions, U has a group trace and is stably conjugate to such a diagonal matrix.

LA - eng

KW - Grupos de matrices; Anillos conmutativos; integral group rings; torsion matrices; finite Abelian groups; Sylow subgroups; Zassenhaus conjectures

UR - http://eudml.org/doc/41403

ER -

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