6533b852fe1ef96bd12ab6ce
RESEARCH PRODUCT
A series of finite groups and related symmetric designs
Martin-luther-universitat Halle-wittenbergMarcel SchmidtDieter Heldsubject
CombinatoricsSymmetric design; automorphism groupSeries (mathematics)Solvable groupSymmetric groupGeneral MathematicsStructure (category theory)Order (group theory)Alternating groupSymmetric designPrime powerMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-12-11 | Glasnik matematički |