Strongly real elements in finite simple orthogonal groups.

DOI10.1007/s11202-010-0020-9zbMath1211.20039OpenAlexW206974631MaRDI QIDQ606012

Sumit K. Garg

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0020-9

zbMATH Keywords

finite groups of Lie typeunipotent elementssemisimple elementsstrongly real elementsstrongly real groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Other geometric groups, including crystallographic groups (20H15) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33) Reflection groups, reflection geometries (51F15)

Related Items (7)

ON INVOLUTIONS AND INDICATORS OF FINITE ORTHOGONAL GROUPS ⋮ On the orbital diameter of groups of diagonal type ⋮ Toward a sharp Baer-Suzuki theorem for the \(\pi \)-radical: exceptional groups of small rank ⋮ Finite groups satisfying the independence property ⋮ Strong reality of finite simple groups. ⋮ Unnamed Item ⋮ On the \(p\)-width of finite simple groups

Cites Work

• Commutators in the symplectic group
• Products of two involutions in classical groups of characteristic 2
• Bireflectionality of orthogonal and symplectic groups
• Unipotent elements of finite groups of Lie type and realization fields of their complex representations.
• On strong reality of finite simple groups.
• Strongly real elements of orthogonal groups in even characteristic
• Centralizers of Semisimple Elements in Finite Groups of Lie Type
• Real conjugacy classes in algebraic groups and finite groups of Lie type
• Reality properties of conjugacy classes in spin groups and symplectic groups
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