Schur multipliers of special \(p\)-groups of rank 2. (English) Zbl 1471.20013
A finite \(p\)-group \(G\) is called a special \(p\)-group of rank \(k\) if its derived subgroup coincides with its center and is an elementary abelian group of order \(p^k\) defining an elementary abelian factor-group. The author found the solution of Problem 2027 from [Y. Berkovich and Z. Janko, Groups of prime power order. Vol. 3. Berlin: Walter de Gruyter (2011; Zbl 1229.20001)] by computing the Schur multiplier of a special \(p\)-group with center of order \(p^2\).
Reviewer: Igor Subbotin (Los Angeles)
MSC:
| 20D15 | Finite nilpotent groups, \(p\)-groups |
| 20C25 | Projective representations and multipliers |
| 20D60 | Arithmetic and combinatorial problems involving abstract finite groups |
Citations:
Zbl 1229.20001References:
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