GENERATING AND COVERING THE ALTERNATING OR SYMMETRIC GROUP

DOI10.1081/AGB-120006500zbMath1060.20003OpenAlexW2092457874MaRDI QIDQ4531154

D. M. Rodgers

Publication date: 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120006500

zbMATH Keywords

conjugacy classessymmetric groupsgeneratorsnumbers of orbitsalternating groupscovering numbers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Generators, relations, and presentations of groups (20F05) Symmetric groups (20B30)

Related Items

Alternating groups as products of four conjugacy classes ⋮ Products of Conjugacy Classes in the Special Linear Groups ⋮ A generalization of the diameter bound of Liebeck and Shalev for finite simple groups

Cites Work

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• Sur les représentations des permutations impaires. (On the representations of odd permutations)
• Covering numbers for Chevalley groups
• The covering number of the group \(\text{PSL}_ n(F)\)
• Products of conjugacy classes in groups
• Even permutations as a product of two conjugate cycles
• On primitive permutation groups containing a cycle
• Generators for Finite Simple Groups, with Applications to Linear Groups