Schur multipliers of special \(p\)-groups of rank 2 (Q2285739)
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| Language | Label | Description | Also known as |
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| English | Schur multipliers of special \(p\)-groups of rank 2 |
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Schur multipliers of special \(p\)-groups of rank 2 (English)
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8 January 2020
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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 [\textit{Y. Berkovich} and \textit{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 \(p^2\).
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special \(p\)-groups
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rank of a special \(p\)-group
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Schur multiplier
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