Groups and noncommutative algebra: interactions and applications
Partial actions and partial representations, cohomology and applications
| Full text | |
| Author(s): |
Niroomand, Peyman
;
Johari, Farangis
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY; v. N/A, p. 14-pg., 2022-06-29. |
| Abstract | |
Let d(G) be the minimum number of elements required to generate a group G. For a group G of order p(n) with a derived subgroup of order p(k) and d(G) = d, we know the order of the Schur multiplier of G is bounded by p(1/2(d-1)(n-k+2)+1). In this paper, we find the structure of all p-groups that obtains the mentioned bound. Moreover, we show that all of them are capable. (AU) | |
| FAPESP's process: | 22/00953-7 - Cohomology, globalization and related topics |
| Grantee: | Farangis Johari |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |