On the behavior of elements of prime order from Singer cycles in representations of special linear groups.

DOI10.1134/S0081543814050113zbMath1315.20043OpenAlexW1988295111MaRDI QIDQ471002

A. A. Osinovskaya, Anatoli Kondrat'ev, Irene D. Suprunenko

Publication date: 13 November 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814050113

zbMATH Keywords

finite groups of Lie typeSinger cyclesspecial linear groupsrepresentations of algebraic groupsabsolutely irreducible modulesfixed point free actionsfree actions of elements

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items

Unisingular representations in arithmetic and Lie theory ⋮ Invariants of maximal tori and unipotent constituents of some quasi-projective characters for finite classical groups ⋮ On finite non-solvable groups whose Gruenberg-Kegel graphs are isomorphic to the paw

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed points of large prime-order elements in the equicharacteristic action of linear and unitary groups.
• On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.
• Prime graph components of finite groups
• Representations of Algebraic Groups
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Representations of SL (2, p)
• Certain representations of chevalley groups over gf(2n)
• FIXED VECTORS FOR ELEMENTS IN MODULES FOR ALGEBRAIC GROUPS
• Endliche Gruppen I
• Groups Having Strongly Self-Centralizing 3-Centralizers
• Linear groups over \(\text{GF}(2^k)\) generated by a conjugacy class of a fixed point free element of order 3

This page was built for publication: On the behavior of elements of prime order from Singer cycles in representations of special linear groups.