INSTITUTIONAL DIGITAL REPOSITORY

Browsing by Subject "unit group"

Browsing by Subject "unit group"

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  • Class length of elements of group in the normalized unit group 
    Kaur, S.; Khan, M. (2021-08-30)
    Let F be a finite field of characteristic p > 0. In this article, we obtain a relation between the class length of elements of a finite p-group G in the normalized unit group V (F G) and its unitary subgroup V∗(F G), ...
  • The normal complement problem in group algebras 
    Setia, H.; Khan, M. (2022-06-25)
    Let Sn be the symmetric group and An be the alternating group on n symbols. In this article, we have proved that if F is a finite field of characteristic p > n, then there does not exist a normal complement of Sn (n is ...
  • 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 ...