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https://doi.org/10.3336/gm.42.2.01

A series of finite groups and related symmetric designs

Dieter Held ; Fachbereich Mathematik, Johannes Gutenberg-Universität, D-55128 Mainz, Germany
Mario-Osvin Pavčević ; Department of applied mathematics, Faculty of electrical engineering, University of Zagreb, Unska 3, HR-10000 Zagreb, Croatia
Marcel Schmidt ; Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Theodor-Lieser-Strasse 5, D-06120 Halle (Saale), Germany

Puni tekst: engleski, pdf (153 KB) str. 257-272 preuzimanja: 763* citiraj
APA 6th Edition
Held, D., Pavčević, M. i Schmidt, M. (2007). A series of finite groups and related symmetric designs. Glasnik matematički, 42 (2), 257-272. https://doi.org/10.3336/gm.42.2.01
MLA 8th Edition
Held, Dieter, et al. "A series of finite groups and related symmetric designs." Glasnik matematički, vol. 42, br. 2, 2007, str. 257-272. https://doi.org/10.3336/gm.42.2.01. Citirano 24.10.2021.
Chicago 17th Edition
Held, Dieter, Mario-Osvin Pavčević i Marcel Schmidt. "A series of finite groups and related symmetric designs." Glasnik matematički 42, br. 2 (2007): 257-272. https://doi.org/10.3336/gm.42.2.01
Harvard
Held, D., Pavčević, M., i Schmidt, M. (2007). 'A series of finite groups and related symmetric designs', Glasnik matematički, 42(2), str. 257-272. https://doi.org/10.3336/gm.42.2.01
Vancouver
Held D, Pavčević M, Schmidt M. A series of finite groups and related symmetric designs. Glasnik matematički [Internet]. 2007 [pristupljeno 24.10.2021.];42(2):257-272. https://doi.org/10.3336/gm.42.2.01
IEEE
D. Held, M. Pavčević i M. Schmidt, "A series of finite groups and related symmetric designs", Glasnik matematički, vol.42, br. 2, str. 257-272, 2007. [Online]. https://doi.org/10.3336/gm.42.2.01

Sažetak
For any odd prime power q = pe we study a certain solvable group G of order q2 · ((q-1)/2)2 · 2 and construct from its internal structure a symmetric design D with parameters (2q2+1, q2, (q2-1)/2) on which G acts as an automorphism group. As a consequence we find that the full automorphism group of D contains a subgroup of order |G| · e2.

Ključne riječi
Symmetric design; automorphism group

Hrčak ID: 17938

URI
https://hrcak.srce.hr/17938

Posjeta: 1.049 *