Generating triples of involutions of alternating groups

DOI10.1007/BF01250552zbMath0822.20036MaRDI QIDQ1311128

Ya. N. Nuzhin

Publication date: 8 February 1994

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsalternating groupsgenerated by three involutions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Residual properties and generalizations; residually finite groups (20E26) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (13)

Finite simple automorphism groups of edge-transitive maps ⋮ Generation of certain matrix groups by three involutions, two of which commute ⋮ Groups of Ree type in characteristic 3 acting on polytopes ⋮ Spinning switches on a wreath product ⋮ The minimal number of generating involutions whose product is 1 for the groups \(\mathrm{PSL}_3(2^m)\) and \(\mathrm{PSU}3(q^2) \) ⋮ Generating triples of involutions of groups of Lie type of rank 2 over finite fields ⋮ Generating sets of involutions of finite simple groups ⋮ 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 ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I ⋮ Regular and orientably-regular maps with quasiprimitive automorphism groups on vertices ⋮ On the generation of Coxeter groups and their alternating subgroups by involutions

Cites Work

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• Hereditary and semihereditary rings without nilpotent elements
• Structure of Lie type groups of rank 1
• MORE ON GENERATORS FOR ALTERNATING AND SYMMETRIC GROUPS
• Generators for Alternating and Symmetric Groups

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