The Minimal Number of Cyclic Generators of the Symmetric and Alternating Groups

DOI10.1080/00927870701404929zbMath1127.20002OpenAlexW1999011436MaRDI QIDQ5426291

Oz Ben-Shimol

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701404929

zbMATH Keywords

symmetric groupsalternating groupsnumbers of generatorscycles of restricted lengths

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• Maximal independent generating sets of the symmetric group
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