On the number of small Steiner triple systems with Veblen points

G Filippone, M Galici - Discrete Mathematics, 2025 - Elsevier
The concept of Schreier extensions of loops was introduced in the general case in [11] and,
more recently, it has been explored in the context of Steiner loops in [6]. In the latter case, it …

Enumerating Steiner triple systems

D Heinlein, PRJ Östergård - Journal of Combinatorial Designs, 2023 - Wiley Online Library
Steiner triple systems (STSs) have been classified up to order 19. Earlier estimations of the
number of isomorphism classes of STSs of order 21, the smallest open case, are …

Steiner triple systems of order 21 with subsystems

D Heinlein, PRJ Ostergård - Glasnik matematički, 2023 - hrcak.srce.hr
The smallest open case for classifying Steiner triple systems is order 21. A Steiner triple
system of order 21, an STS\((21)\), can have subsystems of orders 7 and 9, and it is known …

[PDF][PDF] Schreier extensions of Steiner loops and extensions of Bol loops arising from Bol reflections

M Galici - 2024 - iris.unipa.it
As of now, a general extension theory for loops still does not exist. The lack of associativity
makes the situation less controllable and very different from the theory of group extensions …

Steiner triple systems of order 21 with a transversal subdesign TD (3, 6)

Y Guan, MJ Shi, DS Krotov - Problems of Information Transmission, 2020 - Springer
A Steiner triple system (STS) contains a transversal subdesign TD (3, w) if its point set has
three pairwise disjoint subsets A, B, C of size w and w 2 blocks of the STS intersect with …

On the Wilson monoid of a pairwise balanced design

S Margolis, J Rhodes, PV Silva - Algebraic Combinatorics, 2020 - numdam.org
We give a new perspective of the relationship between simple matroids of rank 3 and
pairwise balanced designs, connecting Wilson's theorems and tools with the theory of …

On the Wilson monoid of a pairwise balanced design

SW Margolis, J Rhodes, P Silva - arXiv preprint arXiv:1904.03840, 2019 - arxiv.org
We give a new perspective of the relationship between simple matroids of rank 3 and
pairwise balanced designs, connecting Wilson's theorems and tools with the theory of …

Системы троек Штейнера порядка с трансверсальным поддизайном

Ю Гуань, М Ши, ДС Кротов - Проблемы передачи информации, 2020 - mathnet.ru
Система троек Штейнера (STS) содержит трансверсальный поддизайн TD (3, w), если
в множестве ее точек имеются три попарно непересекающихся подмножества A, B, C …

[PDF][PDF] SERIJA III

D Heinlein, PRJ Ostergard - GLASNIK MATEMATICKI, 2020 - math.pmf.unizg.hr
The smallest open case for classifying Steiner triple systems is order 21. A Steiner triple
system of order 21, an STS (21), can have subsystems of orders 7 and 9, and it is known that …

[图书][B] Trabajo de Fin de Grado

SG NÚÑEZ - 2019 - oa.upm.es
Una batería es un dispositivo formado por una o varias celdas electroquímicas capaces de
convertir la energía química almacenada en energía eléctrica. Cada celda cuenta con dos …