0000000000378854

AUTHOR

Marcel Schmidt

showing 2 related works from this author

A Classification of all Symmetric Block Designs of Order Nine with an Automorphism of Order Six

2006

We complete the classification of all symmetric designs of order nine admitting an automorphism of order six. As a matter of fact, the classification for the parameters (35,17,8), (56,11,2), and (91,10,1) had already been done, and in this paper we present the results for the parameters (36,15,6), (40,13,4), and (45,12,3). We also provide information about the order and the structure of the full automorphism groups of the constructed designs. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 301–312, 2006

Discrete mathematicsCombinatoricsAutomorphism groupBlock (permutation group theory)Structure (category theory)Discrete Mathematics and CombinatoricsOuter automorphism groupOrder (group theory)symmetric design; automorphism groupSymmetric designAutomorphismMathematics
researchProduct

A series of finite groups and related symmetric designs

2007

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.

CombinatoricsSymmetric design; automorphism groupSeries (mathematics)Solvable groupSymmetric groupGeneral MathematicsStructure (category theory)Order (group theory)Alternating groupSymmetric designPrime powerMathematicsGlasnik matematički
researchProduct