AN INDUCTIVE METHOD FOR SEPARABLE DEFORMATIONS

Ariel Amsalem; Yuval Ginosar

doi:10.1093/qmath/haae027

AN INDUCTIVE METHOD FOR SEPARABLE DEFORMATIONS

Ariel Amsalem, Yuval Ginosar

Department of Mathematics

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	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

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© The Author(s) 2024.

ASJC Scopus subject areas

General Mathematics

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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",

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language = "English",

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AU - Ginosar, Yuval

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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.

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U2 - 10.1093/qmath/haae027

DO - 10.1093/qmath/haae027

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AN - SCOPUS:85197423741

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JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

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AN INDUCTIVE METHOD FOR SEPARABLE DEFORMATIONS

Abstract

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