ECONOMICAL GENERATING SETS FOR THE SYMMETRIC AND ALTERNATING GROUPS CONSISTING OF CYCLES OF A FIXED LENGTH

DOI10.1142/S0219498812501101zbMath1255.20002MaRDI QIDQ3144377

Josh Maglione, S. A. Annin

Publication date: 7 December 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsalternating groupsnumbers of generatorsproducts of cyclescycles of restricted lengthsefficient generating sets

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Subgroups of symmetric groups (20B35)

Related Items (3)

Unnamed Item ⋮ Generating finite Coxeter groups with elements of the same order ⋮ Distance in cayley graphs on permutation groups generated by $k$ $m$-Cycles

Cites Work

• Hierarchy of efficient generators of the symmetric inverse monoid
• The Minimal Number of Cyclic Generators of the Symmetric and Alternating Groups
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