MORE ON GENERATORS FOR ALTERNATING AND SYMMETRIC GROUPS
From MaRDI portal
Publication:3913586
DOI10.1093/qmath/32.2.137zbMath0463.20029OpenAlexW2071091810MaRDI QIDQ3913586
Publication date: 1981
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qmath/32.2.137
Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Symmetric groups (20B30)
Related Items
Linear Bounds of Degrees of Alternating Quotients of the (3,q, r) Triangle Groups ⋮ Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks. ⋮ SUBGROUPS OF FINITE INDEX IN (2, 3, n)-TRIANGLE GROUPS ⋮ Permutation representations of the (2, 4, r) triangle groups ⋮ Finite presentation of alternating groups ⋮ The intersection condition for regular polytopes ⋮ Pseudo-Hurwitz maps on alternating and symmetric groups ⋮ Regular maps with an alternating or symmetric group as automorphism group ⋮ Alternating quotients of the (3.q.r) triangle groups ⋮ Polytopes of high rank for the alternating groups ⋮ Polytopes of high rank for the symmetric groups ⋮ Maximal nonparabolic subgroups of the modular group ⋮ A method for building permutation representations of finitely presented groups ⋮ Alternating quotients of Fuchsian groups ⋮ A question by Graham Higman concerning quotients of the (2, 3, 7) triangle group ⋮ Towards the Hurwitz generation of \(G_{sc}(E_6,q)\). ⋮ Maximal subgroups of the modular and other groups ⋮ Riemann surfaces with maximal real symmetry ⋮ Pseudo-real Riemann surfaces and chiral regular maps ⋮ Simple group actions on arc-transitive graphs with prescribed transitive local action ⋮ Finite groups ⋮ Alternating groups as quotients of two generator groups ⋮ Superimprimitive 2-generator finite groups ⋮ Some results on quotients of triangle groups ⋮ The strong symmetric genus of the finite Coxeter groups ⋮ Hurwitz Groups and Hurwitz Generation ⋮ Chiral maps of given hyperbolic type ⋮ Triangle groups as subgroups of unitary groups ⋮ On the (2, 3, 7)-Generation of Some Special Linear Groups ⋮ The real genus of the alternating groups. ⋮ Composition of permutation representations of triangle groups ⋮ String C-group representations of alternating groups ⋮ Generation of alternating groups by pairs of conjugates ⋮ The strong symmetric genus and generalized symmetric groups G(n, 3) ⋮ Hamiltonian paths in Cayley graphs ⋮ On the ranks of string C-group representations for symplectic and orthogonal groups ⋮ String C-group representations of almost simple groups: A survey ⋮ Realisation of groups as automorphism groups in permutational categories ⋮ The symmetric genus of alternating and symmetric groups ⋮ Generating triples of involutions of alternating groups ⋮ Chiral Polytopes and Suzuki Simple Groups ⋮ Factor groups of \(G^{6,6,6}\) through coset diagrams for an action on \(\text{PL}(F_ q)\)