Naslov
Block designs and strongly regular graphs constructed from some linear and unitary groups

Autori
Rukavina, Sanja ; Crnković, Dean ; Mikulić, Vedrana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Thirtieth Australasian Conference on Combinatorial Mathematics and Combinatorial Computing : abstracts / - Brisbane, 2005, 51-51

Skup
Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (30 ; 2005)

Mjesto i datum
Brisbane, Australija, 05.12.2005. - 09.12.2005

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
block design; strongly regular graph; linear group; unitary group

Sažetak
Block designs and strongly regular graphs are constructed with incidence expressed in terms of maximal subgroups of unitary groups U(4, 2) and U(3, 3) and linear groups L(2, 32) and L(2, 49). We show that a symmetric (45, 12, 3) design and two symmetric (40, 13, 4) designs can be constructed from the group U(4, 2). A symmetric (36, 15, 6) design and two symmetric (63, 31, 15) designs can be constructed from the unitary group U(3, 3). Furthermore, we describe a construction of 2-(28, 12, 11), 2-(28, 4, 1) and 2-(36, 16, 12) designs from U(3, 3). We have constructed two isomorphic 2-(50, 8, 4) designs from the linear group L(2, 49). We also describe a construction of a strongly regular graph with parameters (528, 62, 31, 4) from the linear group L(2, 32). The group from which the incidence structure is constructed acts transitively on the structure.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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