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Pregled bibliografske jedinice broj: 224916

On the Existence of Difference Sets in Groups of Order 96


Golemac, Anka; Mandić, Joško; Vučičić, Tanja
On the Existence of Difference Sets in Groups of Order 96 // Discrete Mathematics, 307 (2007), 54-68 (međunarodna recenzija, članak, znanstveni)


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Naslov
On the Existence of Difference Sets in Groups of Order 96

Autori
Golemac, Anka ; Mandić, Joško ; Vučičić, Tanja

Izvornik
Discrete Mathematics (0012-365X) 307 (2007); 54-68

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Symmetric design; difference set; automorphism group.

Sažetak
The correspondence between a (96, 20, 4)symmetric design having regular automorphism group and a difference set with the same parameters has been used to obtain difference sets in groups of order 96. Starting from eight such symmetric designs constructed by the tactical decomposition method, 55 inequivalent (96, 20, 4) dierence sets are distinguished. Thereby the existence of difference sets in 22 so far undecided nonabelian groups of order 96 is proved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
177-0000000-0882 - Tranzitivne grupe i s njima povezane diskretne strukture (Golemac, Anka, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Tanja Vučičić (autor)

Avatar Url Joško Mandić (autor)

Avatar Url Anka Golemac (autor)


Citiraj ovu publikaciju:

Golemac, Anka; Mandić, Joško; Vučičić, Tanja
On the Existence of Difference Sets in Groups of Order 96 // Discrete Mathematics, 307 (2007), 54-68 (međunarodna recenzija, članak, znanstveni)
Golemac, A., Mandić, J. & Vučičić, T. (2007) On the Existence of Difference Sets in Groups of Order 96. Discrete Mathematics, 307, 54-68.
@article{article, author = {Golemac, Anka and Mandi\'{c}, Jo\v{s}ko and Vu\v{c}i\v{c}i\'{c}, Tanja}, year = {2007}, pages = {54-68}, keywords = {Symmetric design, difference set, automorphism group.}, journal = {Discrete Mathematics}, volume = {307}, issn = {0012-365X}, title = {On the Existence of Difference Sets in Groups of Order 96}, keyword = {Symmetric design, difference set, automorphism group.} }
@article{article, author = {Golemac, Anka and Mandi\'{c}, Jo\v{s}ko and Vu\v{c}i\v{c}i\'{c}, Tanja}, year = {2007}, pages = {54-68}, keywords = {Symmetric design, difference set, automorphism group.}, journal = {Discrete Mathematics}, volume = {307}, issn = {0012-365X}, title = {On the Existence of Difference Sets in Groups of Order 96}, keyword = {Symmetric design, difference set, automorphism group.} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus





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