On extensions of the Baer-Suzuki theorem

DOI10.1007/BF02808114zbMath0794.20029OpenAlexW1993452345MaRDI QIDQ689854

Geoffrey R. Robinson, Robert M. Guralnick

Publication date: 31 August 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808114

zbMATH Keywords

finite group\(p\)-elementclassification of finite simple groupsnormal \(p\)-subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (16)

Multiplying a conjugacy class by its inverse in a finite group ⋮ Conjugacy classes of \(p\)-elements and normal \(p\)-complements ⋮ A generalisation of a theorem of Wielandt ⋮ Coprime automorphisms of finite groups ⋮ Bass units as free factors in integral group rings of simple groups. ⋮ Products of conjugacy classes in finite and algebraic simple groups. ⋮ Realizability and tameness of fusion systems ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Order of products of elements in finite groups ⋮ Centers of Sylow subgroups and automorphisms ⋮ BURNSIDE-TYPE PROBLEMS RELATED TO SOLVABILITY ⋮ A description of Baer-Suzuki type of the solvable radical of a finite group. ⋮ Centralizers of normal subgroups and the \(Z^*\)-theorem. ⋮ Powers of conjugacy classes in a finite group ⋮ Isolated involutions in finite groups ⋮ Variations on the Baer-Suzuki theorem.

Cites Work

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• The 27-dimensional module for \(E_ 6\). IV
• Automorphisms which centralize a Sylow p-subgroup
• Glauberman's conjecture, Mazurov's problem and Peng's problem
• Criteria for subnormality in finite groups.
• Generation of Finite Groups of Lie Type
• Overgroups of Sylow subgroups in sporadic groups
• On Ree's Series of Simple Groups
• Endomorphisms of linear algebraic groups
• On conjugacy classes of p-elements

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