scholarly journals Steiner triple systems with a doubly transitive automorphism group

1985 ◽  
Vol 38 (2) ◽  
pp. 192-202 ◽  
Author(s):  
Marshall Hall
Keyword(s):  
Automorphism Group ◽  
Steiner Triple Systems ◽  
Triple Systems ◽  
Transitive Automorphism ◽  
Transitive Automorphism Group

scholarly journals On transitive commutative idempotent quasigroups

1979 ◽  
Vol 27 (4) ◽  
pp. 411-429
Author(s):  
Arnold Neumaier
Keyword(s):  
Automorphism Group ◽  
Transitive Automorphism ◽  
Transitive Automorphism Group ◽  
Recursive Constructions ◽  
Room Squares ◽  
Sharply Transitive

AbstractCommutative idempotent quasigroups with a sharply transitive automorphism group G are described in terms of so-called Room maps of G. Orthogonal Room maps and skew Room maps are used to construct Room squares and skew Room squares. Very general direct and recursive constructions for skew Room maps lead to the existence of skew Room maps of groups of order prime to 30. Also some nonexistence results are proved.

Reduction for primitive flag-transitive nonsymmetric 2-(v,k,4) designs

2019 ◽  
Vol 19 (12) ◽  
pp. 2050240 ◽  
Author(s):  
Yongli Zhang ◽  
Zhilin Zhang ◽  
Shenglin Zhou
Keyword(s):  
Automorphism Group ◽  
Simple Type ◽  
Transitive Automorphism ◽  
Text Design ◽  
Transitive Automorphism Group

Let [Formula: see text] be a nonsymmetric 2-[Formula: see text] design and [Formula: see text] be a primitive flag-transitive automorphism group of [Formula: see text]. Then [Formula: see text] must be of affine or almost simple type.

scholarly journals Free Steiner triple systems and their automorphism groups

2014 ◽  
Vol 14 (02) ◽  
pp. 1550025 ◽  
Author(s):  
Alexander Grishkov ◽  
Diana Rasskazova ◽  
Marina Rasskazova ◽  
Izabella Stuhl
Keyword(s):  
Automorphism Group ◽  
Automorphism Groups ◽  
Steiner Triple Systems ◽  
Finitely Generated ◽  
Combinatorial Structures ◽  
Triple Systems ◽  
Free Objects

The paper is devoted to the study of free objects in the variety of Steiner loops and of the combinatorial structures behind them, focusing on their automorphism groups. We prove that all automorphisms are tame and the automorphism group is not finitely generated if the loop is more than 3-generated. For the free Steiner loop with three generators we describe the generator elements of the automorphism group and some relations between them.

Steiner Triple Systems of Order 19 with Nontrivial Automorphism Group

1992 ◽  
Vol 59 (199) ◽  
pp. 283 ◽  
Author(s):  
Charles J. Colbourn ◽  
Spyros S. Magliveras ◽  
D. R. Stinson
Keyword(s):  
Automorphism Group ◽  
Steiner Triple Systems ◽  
Triple Systems ◽  
Nontrivial Automorphism
Sign in / Sign up

Export Citation Format

Share Document