COVERING AND GENERATING THE ALTERNATING GROUP BY CONJUGATE ELEMENTS

DOI10.1081/AGB-100105046zbMath0991.20002MaRDI QIDQ2746640

D. M. Rodgers

Publication date: 14 May 2002

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

zbMATH Keywords

conjugacy classesalternating groupscovering numbersconjugacy generating numbers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Generators, relations, and presentations of groups (20F05) Subgroups of symmetric groups (20B35)

Related Items (1)

Groups of Lie type as products of \(\text{SL}_2\) subgroups.

Cites Work

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• The covering numbers of the sporadic simple groups
• A remark about permutations
• Probabilistic generation of finite simple groups
• Products of conjugacy classes in algebraic groups. I
• The covering number of the group \(\text{PSL}_ n(F)\)
• Products of conjugacy classes in groups
• A theorem on permutations
• Even permutations as a product of two conjugate cycles
• Generators for Finite Simple Groups, with Applications to Linear Groups

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