V. A. Belonogov, “Small interactions in the groups ${\rm SL}_3(q)$, ${\rm SU}_3(q)$, ${\rm PSL}_3(q)$ and ${\rm PSU}_3(q)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 5, 1998, 3

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 1998, Volume 5, Pages 3–27 (Mi timm461)

This article is cited in 10 scientific papers (total in 10 papers)

Algebra

Small interactions in the groups ${\rm SL}_3(q)$, ${\rm SU}_3(q)$, ${\rm PSL}_3(q)$ and ${\rm PSU}_3(q)$

V. A. Belonogov

Full-text PDF (2735 kB) Citations (10)

Abstract: To accumulate some information about the influence of nonclassic interactions on the structure of finite groups, the author investigates such interactions in concrete groups. In this paper, all the so-called small interactions are described in the groups mentioned in the title ($q$ is a prime power). As a rule, small interactions are nonclassic.

Received: 25.07.1997

Bibliographic databases:

Document Type: Article

UDC: 512.547.2

MSC: 20C15

Language: Russian

Citation: V. A. Belonogov, “Small interactions in the groups ${\rm SL}_3(q)$, ${\rm SU}_3(q)$, ${\rm PSL}_3(q)$ and ${\rm PSU}_3(q)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 5, 1998, 3–27

Citation in format AMSBIB

\Bibitem{Bel98}

\by V.~A.~Belonogov

\paper Small interactions in the groups ${\rm SL}_3(q)$, ${\rm SU}_3(q)$, ${\rm PSL}_3(q)$ and ${\rm PSU}_3(q)$

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 1998

\vol 5

\pages 3--27

\mathnet{http://mi.mathnet.ru/timm461}

\zmath{https://zbmath.org/?q=an:1003.20506}

Linking options:

https://www.mathnet.ru/eng/timm461

https://www.mathnet.ru/eng/timm/v5/p3

This publication is cited in the following 10 articles:

V. A. Belonogov, “O poluproportsionalnykh stolbtsakh tablitsy kharakterov grupp $\mathrm{Sp}_4(q)$ i $\mathrm{PSp}_4(q)$ pri nechëtnom $q$”, Tr. IMM UrO RAN, 21, no. 3, 2015, 46–53
V. A. Belonogov, “Poluproportsionalnye neprivodimye kharaktery grupp $\mathrm{Sp}_4(q)$ i $\mathrm{PSp}_4(q)$ pri nechetnykh $q$”, Tr. IMM UrO RAN, 19, no. 1, 2013, 25–40
V. A. Belonogov, “On the conjecture about semiproportional characters in the groups $\mathrm{Sp}_4(q)$”, Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 6–23
V. A. Belonogov, “Small interactions in the groups $\mathrm{Sp}_4(q)$ for even $q$”, Proc. Steklov Inst. Math. (Suppl.), 279, suppl. 1 (2012), 23–42
Belonogov V.A., “On character tables and abstract structure of finite groups”, Character Theory of Finite Groups, Contemporary Mathematics, 524, 2010, 1–10
V. A. Belonogov, “The young diagrams of a pair of irreducible characters of $S_n$ with the same zero set on $S^\varepsilon_n$”, Siberian Math. J., 49:5 (2008), 784–795
V. A. Belonogov, “Certain pairs of irreducible characters of the groups $S_n$ and $A_n$”, Proc. Steklov Inst. Math. (Suppl.), 257, suppl. 1 (2007), S10–S46
V. A. Belonogov, “On the semiproportional character conjecture”, Siberian Math. J., 46:2 (2005), 233–245
V. A. Belonogov, “On the irreducible characters of the groups $S_n$ and $A_n$”, Siberian Math. J., 45:5 (2004), 806–820
M. R. Aleeva, “On Finite Simple Groups with the Set of Element Orders as in a Frobenius Group or a Double Frobenius Group”, Math. Notes, 73:3 (2003), 299–313

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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