Torsion matrices over commutative integral group rings.

Lee, 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 -