The transitive groups of degree twelve

DOI10.1016/S0747-7171(87)80068-8zbMath0683.20002MaRDI QIDQ1824686

Gordon F. Royle

Publication date: 1987

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

actionprimitiveCAYLEYblock systemminimal transitivetransitive groups of degree 12

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to group theory (20-04) Primitive groups (20B15) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Related Items (20)

DODECIC 3-ADIC FIELDS ⋮ The transitive groups of degree 48 and some applications ⋮ Enumerating graphs via even/odd dichotomy ⋮ Norm one Tori and Hasse norm principle ⋮ Rank three innately transitive permutation groups and related 2-transitive groups ⋮ A census of small transitive groups and vertex-transitive graphs ⋮ Digital collections of examples in mathematical sciences ⋮ A census of small Schurian association schemes ⋮ Constructing the vertex-transitive graphs of order 24 ⋮ Plane quartics with a Galois-invariant Steiner hexad ⋮ Vertex-transitive CIS graphs ⋮ Constructing transitive permutation groups. ⋮ Kronecker conjugacy of polynomials ⋮ Rationality problem for norm one tori in small dimensions ⋮ ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16--20, 2018 ⋮ Some results related to the evasiveness conjecture. ⋮ On Transitive Permutation Groups ⋮ Specht modules and resolvents of algebraic equations ⋮ Norm one tori and Hasse norm principle. II: Degree 12 case ⋮ Degree 12 2-adic fields with automorphism group of order 4

Uses Software

• Cayley

Cites Work

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• Computing normalizers in permutation groups
• The transitive groups of degree up to eleven⁺

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