A note on representing dowling geometries by partitions

Frantisek Matus; Aner Ben-Efraim

doi:10.14736/kyb-2020-5-0934

A note on representing dowling geometries by partitions

Frantisek Matus, Aner Ben-Efraim

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

Abstract

We prove that a rank 3 Dowling geometry of a group H is partition representable if and only if H is a Frobenius complement. This implies that Dowling group geometries are secret-sharing if and only if they are multilinearly representable.

Original language	English
Pages (from-to)	934-947
Number of pages	14
Journal	Kybernetika
Volume	56
Issue number	5
DOIs	https://doi.org/10.14736/kyb-2020-5-0934
State	Published - 1 Jan 2021
Externally published	Yes

Keywords

Dowling geometries
Frobenius groups
matroid representations
partition representations

ASJC Scopus subject areas

Software
Control and Systems Engineering
Theoretical Computer Science
Information Systems
Artificial Intelligence
Electrical and Electronic Engineering

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10.14736/kyb-2020-5-0934

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abstract = "We prove that a rank 3 Dowling geometry of a group H is partition representable if and only if H is a Frobenius complement. This implies that Dowling group geometries are secret-sharing if and only if they are multilinearly representable.",

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author = "Frantisek Matus and Aner Ben-Efraim",

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AB - We prove that a rank 3 Dowling geometry of a group H is partition representable if and only if H is a Frobenius complement. This implies that Dowling group geometries are secret-sharing if and only if they are multilinearly representable.

KW - Dowling geometries

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KW - matroid representations

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A note on representing dowling geometries by partitions

Abstract

Keywords

ASJC Scopus subject areas

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