Non-tactical symmetric nets

A. N. Al-Kenani; Vassili C. Mavron

doi:10.1112/S0024610702004052

Non-tactical symmetric nets

A. N. Al-Kenani, Vassili C. Mavron

Department of Physics

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

1 Citation (Scopus)

Abstract

Until recently, the known symmetric nets were class-regular and therefore satisfied a certain geometric condition that defines the class of nets known as tactical symmetric nets. Thus the known symmetric nets were tactical. This paper gives a general method of construction for non-tactical symmetric nets, which are therefore not class-regular. It is not known whether there are tactical symmetric nets which are not class regular.

Original language	English
Pages (from-to)	273-288
Number of pages	16
Journal	Journal of the London Mathematical Society
Volume	67
Issue number	2
DOIs	https://doi.org/10.1112/S0024610702004052
Publication status	Published - 2003

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title = "Non-tactical symmetric nets",

abstract = "Until recently, the known symmetric nets were class-regular and therefore satisfied a certain geometric condition that defines the class of nets known as tactical symmetric nets. Thus the known symmetric nets were tactical. This paper gives a general method of construction for non-tactical symmetric nets, which are therefore not class-regular. It is not known whether there are tactical symmetric nets which are not class regular.",

author = "Al-Kenani, {A. N.} and Mavron, {Vassili C.}",

note = "Mavron, Vassili; Al-Kenani, A.N., (2003) 'Non-tactical symmetric nets', Journal of the London Mathematical Society 67(2) pp.273-288 RAE2008",

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AU - Al-Kenani, A. N.

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N2 - Until recently, the known symmetric nets were class-regular and therefore satisfied a certain geometric condition that defines the class of nets known as tactical symmetric nets. Thus the known symmetric nets were tactical. This paper gives a general method of construction for non-tactical symmetric nets, which are therefore not class-regular. It is not known whether there are tactical symmetric nets which are not class regular.

AB - Until recently, the known symmetric nets were class-regular and therefore satisfied a certain geometric condition that defines the class of nets known as tactical symmetric nets. Thus the known symmetric nets were tactical. This paper gives a general method of construction for non-tactical symmetric nets, which are therefore not class-regular. It is not known whether there are tactical symmetric nets which are not class regular.

U2 - 10.1112/S0024610702004052

DO - 10.1112/S0024610702004052

M3 - Article

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VL - 67

SP - 273

EP - 288

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 2

ER -

Non-tactical symmetric nets

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