Singer cycles in 2-modular representations of the group $$GL_{n+1}(2)$$ G L n + 1 ( 2 )-Reference-Cited by-同舟云学术

Singer cycles in 2-modular representations of the group $$GL_{n+1}(2)$$ G L n + 1 ( 2 )

Published:2018-03-05 Issue:5 Volume:110 Page:433-446
ISSN:0003-889X
Container-title:Archiv der Mathematik
language:en
Short-container-title:Arch. Math.

Author:

Zalesski Alexandre E.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s00013-018-1153-5/fulltext.html

Reference12 articles.

1. N. Bourbaki, Éléments de mathématique. Fast. XXXIV: Groupes et algebres de Lie, Ch. IV-VI, Actualités Scientifiques et Industrielles, No. 1337, Hermann, Paris, 1968, 288 pp.

2. N. Bourbaki, Éléments de mathématique. Fast. XXXVIII: Groupes et algebres de Lie, Ch. VII-VIII, Actualités Scientifiques et Industrielles, No. 1364, Hermann, Paris, 1975, 271 pp.

3. R. Guralnick and P. H. Tiep, Finite simple unisingular groups of Lie type, J. Group Theory 6 (2003), 271–310.

4. J. Humphreys, Modular Representations of Finite Groups of Lie Type, London Mathematical Society, Lecture Note Series, 326, Cambridge Univ. Press, Cambridge, 2006.

5. A.S. Kondrat‘ev, O. Osinovskaia, and I.D. Suprunenko, On the behavior of elements of prime order from Zinger cycles in representations of a special linear group, Proc. Steklov Inst. Math. 285 (2014), 108–115.

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