An upper bound for the representation dimension of group algebras with elementary abelian Sylow p-subgroupsCitation formats

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An upper bound for the representation dimension of group algebras with elementary abelian Sylow p-subgroups. / Peacock, Simon F.

In: Communications in Algebra, 2019.

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@article{e44a6f3a092e4fb68280673bdcdbc5bd,
title = "An upper bound for the representation dimension of group algebras with elementary abelian Sylow p-subgroups",
abstract = "In this article, we present an upper bound on the representation dimension of the group algebra of a group with an elementary abelian Sylow p-subgroup. Specifically, if k is a field of characteristic p and G is a group with elementary abelian Sylow p-subgroup P, we prove that the representation dimension of kG is bounded above by the order of P. Key to proving this theorem is the separable equivalence between the two algebras and some nice properties of Mackey decomposition.",
author = "Peacock, {Simon F.}",
year = "2019",
doi = "10.1080/00927872.2019.1632327",
language = "English",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor & Francis",

}

RIS

TY - JOUR

T1 - An upper bound for the representation dimension of group algebras with elementary abelian Sylow p-subgroups

AU - Peacock, Simon F.

PY - 2019

Y1 - 2019

N2 - In this article, we present an upper bound on the representation dimension of the group algebra of a group with an elementary abelian Sylow p-subgroup. Specifically, if k is a field of characteristic p and G is a group with elementary abelian Sylow p-subgroup P, we prove that the representation dimension of kG is bounded above by the order of P. Key to proving this theorem is the separable equivalence between the two algebras and some nice properties of Mackey decomposition.

AB - In this article, we present an upper bound on the representation dimension of the group algebra of a group with an elementary abelian Sylow p-subgroup. Specifically, if k is a field of characteristic p and G is a group with elementary abelian Sylow p-subgroup P, we prove that the representation dimension of kG is bounded above by the order of P. Key to proving this theorem is the separable equivalence between the two algebras and some nice properties of Mackey decomposition.

U2 - 10.1080/00927872.2019.1632327

DO - 10.1080/00927872.2019.1632327

M3 - Article

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

ER -