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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Glasnik Matematicki Serja III.
( Vol. 34 NO.2 / (1999))
Symmetric (70,24,8) Designs Having $Frob_{21} \times Z_2$ as an Automorphism Group
Dean Crnkovic,
Pages. 109-121
Abstract Up to isomorphism there are twenty-two symmetric (70,24,8) designs having
automorphism group isomorphic to $Frob_{21} imes Z_2$. Among them there are
four self-dual, and nine pairs of dual designs. Full automorphism groups of
those designs are isomorphic to $Frob_{21} imes Z_2$. Designs are constructed
by means of tactical decomposition, using a principal series of the group
$Frob_{21} imes Z_2$.
Contents 1. Introduction and preliminaries 2. $Frob_{21}$ acting on a symmetric (70,24,8) design 3. $Frob_{21} \times Z_2$ acting on a symmetric (70,24,8) design 4. $Z_{14}4 acting on a symmetric (70,24,8) design 5. Orbit distribution (14,14,42) 6. Orbit distribution (7,7,14,42)
Key words symmetric design, automorphism group, orbit structure
Mathmatical Subject Classification 05B05