Study of conditions of existence of irreducible representations of finite groups by means of computer algebra system GAP

K.S. Mordak (Dnipropetrovsk National University)

Abstract


We consider the criterion of existence of exact irreducible representations of finite groups and construct the algorithm that allows to verify it by means of computer algebra system GAP.

References


Tushev A.V. "On exact irreducible representations of locally normal groups", Ukrainian Math. J., 1993; 45(12): pp. 1688-1694. (in Russian) doi:10.1007/BF01061360

Gaschutz W. "Endliche Gruppen mittreuen absolutirreduziblen Darstellungen", Math. Nachr., 1954; 12(3-4): pp. 253-255. (in German) doi:10.1002/mana.19540120308

Robinson D.J.S. "Finiteness conditions and Generalized Soluble Groups", Ergebnisse der Mathematik und ihrer Grenzgebiete. Vol. 1, 2, Springer-Verlag, 1972. doi:10.1007/978-3-662-11747-7

The GAP Group, GAP - Groups, Algorithms and Programming, Aachen, 1999. gap-system.org




DOI: https://doi.org/10.15421/240715

  

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Copyright (c) 2007 K.S. Mordak

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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