INSTITUTIONAL DIGITAL REPOSITORY

Browsing by Subject "Group algebra"

Browsing by Subject "Group algebra"

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  • A note on normal complement problem 
    Kaur, K.; Khan, M.; Chatterjee, T. (2021-10-16)
    In this paper, we study the normal complement problem on semisimple group algebras and modular group algebras FG over a field F of positive characteristic. We provide an infinite class of abelian groups G and Galois ...
  • Units in F2D2p 
    Kaur, K.; Khan, M. (2016-11-22)
    Let p be an odd prime, D2p be the dihedral group of order 2p, and F2 be the finite field with two elements. If * denotes the canonical involution of the group algebra F2D2p, then bicyclic units are unitary units. In this ...
  • Units in modular group algebra 
    Kaur, K.; Khan, M. (2017-06-20)
    Let U(FG) denotes the unit group of FG. In this article, we compute the order of U(F(G ⋉ C2 n )) in terms of the order of U(FG) for an arbitrary nite group G, where C2 n is the cyclic group of order 2n and F is a nite ...