INSTITUTIONAL DIGITAL REPOSITORY

Browsing by Subject "Group ring"

Browsing by Subject "Group ring"

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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 and the structure of the unitary subgroup 
    Kaur, S.; Khan, M. (2020-12-16)
    Let p be an odd prime and G be a finite split metabelian p-group of exponent p. In this article, we obtain a normal complement of G in VðFGÞ, where F is the field with p elements. Further, assume that G ¼ A3C3, where A ...
  • The normal complement problem in group algebras 
    Setia, H.; Khan, M. (2021-10-24)
    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 ...
  • 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 ...
  • Normalized unit groups and their conjugacy classes 
    Kaur, S.; Khan, M. (2020-03-04)
    Let G = H × A be a finite 2-group, where H is a non-abelian group of order 8 and A is an elementary abelian 2-group. We obtain a normal complement of G in the normalized unit group V(FG) and in the unitary subgroup V∗(FG) ...