Groups having unique faithful irreducible Q-representation

Vikas Jadhav

Abstract


In this paper, we give few sufficient conditions for finite p-group to have unique NEW (i.e faithful irreducible) Q-representation. As a consequence of these conditions we will prove that any finite p-group of nilpotency class 2 has atmost one NEW Q-representation. We also give examples of few classes of finite p-groups which has unique NEW Q-representation.

Keywords


Idempotents; Faithful representation

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References


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DOI: http://dx.doi.org/10.23755/rm.v53i0.1634

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.