Estimating proportions of elements in finite groups of Lie type.

DOI10.1016/j.jalgebra.2010.03.018zbMath1223.20046OpenAlexW2083225892WikidataQ56987668 ScholiaQ56987668MaRDI QIDQ984997

Cheryl E. Praeger, Alice C. Niemeyer

Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.03.018

zbMATH Keywords

finite groups of Lie typefinite classical groupsestimating proportions of elementsprimitive prime divisor elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06) Classical groups (11E57)

Related Items

Proportions of elements with given 2-part order in finite classical groups of odd characteristic. ⋮ ALGORITHMS TO IDENTIFY ABUNDANTp-SINGULAR ELEMENTS IN FINITE CLASSICAL GROUPS ⋮ On the dimension of twisted centralizer codes ⋮ On proportions of pre-involutions in finite classical groups. ⋮ Abundant \(p\)-singular elements in finite classical groups. ⋮ The essential rank of classical groups. ⋮ Effective black-box constructive recognition of classical groups. ⋮ Convergence criteria for \(\text{FI}_{\mathcal{W}}\)-algebras and polynomial statistics on maximal tori in type B/C ⋮ ESTIMATION AND COMPUTATION WITH MATRICES OVER FINITE FIELDS

Cites Work

• Unnamed Item
• Unnamed Item
• On proportions of pre-involutions in finite classical groups.
• An algorithm for Lang's theorem.
• Constructive recognition of classical groups in odd characteristic.
• Finding involutions in finite Lie type groups of odd characteristic.
• Rational tori, semisimple orbits and the topology of hyperplane complements
• The cohomology of the regular semisimple variety
• On the probability that a group element is \(p\)-singular
• A Recognition Algorithm for Special Linear Groups
• A Recognition Algorithm For Classical Groups Over Finite Fields
• Endliche Gruppen I