Computing the nonabelian tensor square of metacyclic p‐groups of nilpotency class two. Jurnal Teknologi: Sciences and Engineering, 61 (1): 5. pp. 31-34. ISSN 2180-3722 (2013)
Abstract
In this paper, we develop appropriate programme using Groups, Algorithms and Programming (GAP) software enables performing different computations on various characteristics of all finite nonabelian metacyclic p-groups, p is prime, of nilpotency class 2. Such programme enables to compute structure of the group, order of the group, structure of the center, the number of conjugacy classes, structure of commutator subgroup, belianization, Whitehead`s universal quadratic functor and other characteristics.In addition, structures of some other groups such as the nonabelian tensor square and various homological functors including Schur multiplier and exterior square can be computed using this programme.Furthermore, by computing the epicenter order or the exterior center order the capability can be determined. In our current article, we only compute the nonabelian tensor square of certain order groups,as an example, and give GAP codes for computing other characteristics and some subgroups.
| Item Type: | Article |
|---|---|
| Keywords: | Algorithms and programming, p-Groups, Metacyclic groups, Computations |
| Taxonomy: | By Subject > Computer & Mathematical Sciences > Computer Science By Subject > Computer & Mathematical Sciences > Mathematics |
| Local Content Hub: | Subjects > Computer and Mathematical Sciences |
| Depositing User: | Wan Hamid Wan Fatimah |
| Date Deposited: | 24 Feb 2021 05:15 |
| Last Modified: | 24 Feb 2021 05:15 |
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