Covering the grouppsln{F) by the square of a conjugacy class

DOI10.1080/00927879908826490zbMath0919.20028OpenAlexW2112600081MaRDI QIDQ4236933

Arieh Lev

Publication date: 6 July 1999

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

Full work available at URL: https://doi.org/10.1080/00927879908826490

zbMATH Keywords

Thompson conjectureprojective special linear groupsproducts of conjugacy classessimple groups of Lie type

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Algebraic systems of matrices (15A30) Commutator calculus (20F12)

Related Items

COVERING NUMBERS FOR NON-PERFECT FINITE GROUPS

Cites Work

• Unnamed Item
• Commutators in the symplectic group
• The operator factorization problems
• Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\)
• Products of cyclic similarity classes in the groups \(\text{GL}_n(F)\)
• Powers of 1-cyclic conjugacy classes in the groups GL\(_ n(F)\) and SL\(_ n(F)\)
• Groups with S\(_2\)'-subgroups and S\(_3\)'-subgroups
• The covering number of the group \(\text{PSL}_ n(F)\)
• Even permutations as a product of two conjugate cycles
• On a commutator theorem of robert c. thompson
• A factorization theorem for matrices
• Similarity overSL(n, F)