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

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Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	273-288
Nifer y tudalennau	16
Cyfnodolyn	Journal of the London Mathematical Society
Cyfrol	67
Rhif cyhoeddi	2
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1112/S0024610702004052
Statws	Cyhoeddwyd - 2003

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10.1112/S0024610702004052

http://hdl.handle.net/2160/1430

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@article{0a0f9afefef949e3addb88da6ae52a69,

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",

year = "2003",

doi = "10.1112/S0024610702004052",

language = "English",

volume = "67",

pages = "273--288",

journal = "Journal of the London Mathematical Society",

issn = "0024-6107",

publisher = "Oxford University Press",

number = "2",

}

TY - JOUR

T1 - Non-tactical symmetric nets

AU - Al-Kenani, A. N.

AU - Mavron, Vassili C.

N1 - Mavron, Vassili; Al-Kenani, A.N., (2003) 'Non-tactical symmetric nets', Journal of the London Mathematical Society 67(2) pp.273-288 RAE2008

PY - 2003

Y1 - 2003

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

SN - 0024-6107

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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