BLT-sets admitting the symmetric group S4

M. Lavrauw; M. Law

doi:10.2307/2708876

BLT-sets admitting the symmetric group S4

M. Lavrauw
, M. Law

Discrete Algebra and Geometry

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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We describe a set of subgroups isomorphic to S4 in PGO(5, q), q ?? 5(6), and prove that they belong to exactly two different conjugacy classes. As an application we use a representative group in each of the conjugacy classes to construct a number of BLT-sets of Q(4, q), some of which were previously found by computer in [5] (see also [4]), others of which are new.

Originele taal-2	Engels
Pagina's (van-tot)	307-316
Tijdschrift	The Australasian Journal of Combinatorics
Volume	33
DOI's	https://doi.org/10.2307/2708876
Status	Gepubliceerd - 2005

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10.2307/2708876

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title = "BLT-sets admitting the symmetric group S4",

abstract = "We describe a set of subgroups isomorphic to S4 in PGO(5, q), q ?? 5(6), and prove that they belong to exactly two different conjugacy classes. As an application we use a representative group in each of the conjugacy classes to construct a number of BLT-sets of Q(4, q), some of which were previously found by computer in [5] (see also [4]), others of which are new.",

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AB - We describe a set of subgroups isomorphic to S4 in PGO(5, q), q ?? 5(6), and prove that they belong to exactly two different conjugacy classes. As an application we use a representative group in each of the conjugacy classes to construct a number of BLT-sets of Q(4, q), some of which were previously found by computer in [5] (see also [4]), others of which are new.

U2 - 10.2307/2708876

DO - 10.2307/2708876

M3 - Article

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SP - 307

EP - 316

JO - The Australasian Journal of Combinatorics

JF - The Australasian Journal of Combinatorics

ER -

BLT-sets admitting the symmetric group S4

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