6533b7ddfe1ef96bd127470c

RESEARCH PRODUCT

Some new (s,k,?)-translation transversal designs with non-abelian translation group

Arnim HerzerRalph Hardo Schulz

subject

p-groupCombinatoricsKernel (algebra)Group (mathematics)Transversal designTransversal (combinatorics)Geometry and TopologyAbelian groupFrobenius groupTranslation (geometry)Mathematics

description

For λ >1 and many values of s andk, we give a construction of (s,k,λ)-partitions of finite non-abelian p-groups and of Frobenius groups with non-abelian kernel. These groups are associated with translation transversl designs of the same parameters.

https://doi.org/10.1007/bf01222264