AN INDUCTIVE METHOD FOR SEPARABLE DEFORMATIONS

Ariel Amsalem; Yuval Ginosar

doi:https://doi.org/10.1093/qmath/haae027

AN INDUCTIVE METHOD FOR SEPARABLE DEFORMATIONS

Ariel Amsalem, Yuval Ginosar

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

The Donald–Flanigan conjecture asserts that any group algebra of a finite group has a separable deformation. We apply an inductive method to deform group algebras from deformations of normal subgroup algebras, establishing an infinite family of metacyclic groups which fulfill the conjecture.

Original language	American English
Pages (from-to)	749-755
Number of pages	7
Journal	Quarterly Journal of Mathematics
Volume	75
Issue number	2
DOIs	https://doi.org/10.1093/qmath/haae027
State	Published - 1 Jun 2024

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

https://doi.org/10.1093/qmath/haae027

Cite this

@article{49209fecb08e4735af19f977bff2c926,

title = "AN INDUCTIVE METHOD FOR SEPARABLE DEFORMATIONS",

abstract = "The Donald–Flanigan conjecture asserts that any group algebra of a finite group has a separable deformation. We apply an inductive method to deform group algebras from deformations of normal subgroup algebras, establishing an infinite family of metacyclic groups which fulfill the conjecture.",

author = "Ariel Amsalem and Yuval Ginosar",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = jun,

day = "1",

doi = "https://doi.org/10.1093/qmath/haae027",

language = "American English",

volume = "75",

pages = "749--755",

journal = "Quarterly Journal of Mathematics",

issn = "0033-5606",

publisher = "Oxford University Press",

number = "2",

}

TY - JOUR

T1 - AN INDUCTIVE METHOD FOR SEPARABLE DEFORMATIONS

AU - Amsalem, Ariel

AU - Ginosar, Yuval

PY - 2024/6/1

Y1 - 2024/6/1

N2 - The Donald–Flanigan conjecture asserts that any group algebra of a finite group has a separable deformation. We apply an inductive method to deform group algebras from deformations of normal subgroup algebras, establishing an infinite family of metacyclic groups which fulfill the conjecture.

AB - The Donald–Flanigan conjecture asserts that any group algebra of a finite group has a separable deformation. We apply an inductive method to deform group algebras from deformations of normal subgroup algebras, establishing an infinite family of metacyclic groups which fulfill the conjecture.

UR - http://www.scopus.com/inward/record.url?scp=85197423741&partnerID=8YFLogxK

U2 - https://doi.org/10.1093/qmath/haae027

DO - https://doi.org/10.1093/qmath/haae027

M3 - Article

SN - 0033-5606

VL - 75

SP - 749

EP - 755

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 2

ER -

AN INDUCTIVE METHOD FOR SEPARABLE DEFORMATIONS

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this