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  • Real Elements and Schur Indices of a Group 
    Kulshrestha, Amit; SINGH, ANUPAM KUMAR (Indian Mathematical Society, 2011-11)
    In this article we try to explore the relation between real conjugacy classes and real characters of finite groups at more refined level. This refinement is in terms of properties of groups such as strong reality and total ...
  • Quadratic forms in characteristic 2 and a Wedderburn decomposition over rationals 
    KAUR, DILPREET; Kulshrestha, Amit (World Scientific Publishing, 2019-01)
    Let F be a field of characteristic 2. In this paper, we provide an interesting application of quadratic forms over F in determination of the Wedderburn decomposition of the rational group algebra Q[G], where G is a real ...
  • On Shalev's conjecture for type 𝐴𝑛 and 2𝐴𝑛 
    Galt, Alexey; Kulshrestha, Amit; SINGH, ANUPAM KUMAR; Vdovin, Evgeny (De Gruyter, 2019-07)
    In the paper, we consider images of finite simple projective special linear and unitary groups under power words. In particular, we show that, if G≃PSLεn(q), then, for every power word of type xM, there exist constants c ...
  • Computing n-th roots in SL2 and Fibonacci polynomials 
    Kulshrestha, Amit; SINGH, ANUPAM KUMAR (Indian Academy of Sciences, 2020-12)
    Let k be a field of characteristic ≠2. In this paper, we study squares, cubes and their products in split and anisotropic groups of type A1. In the split case, we show that computing n-th roots is equivalent to finding ...
  • Asymptotics of the powers in finite reductive groups 
    Kulshrestha, Amit; KUNDU, RIJUBRATA; SINGH, ANUPAM KUMAR (De Gruyter, 2021-09)
    Let 𝐺 be a connected reductive group defined over Fq. Fix an integer M≥2, and consider the power map x↦xM on 𝐺. We denote the image of G(Fq) under this map by G(Fq)M and estimate what proportion of regular semisimple, ...

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