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On the number of solutions of \(x^{p^ k}=a\) in a p-group

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Publication:1095252
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zbMath0632.20014MaRDI QIDQ1095252

Tsit-Yuen Lam

Publication date: 1988

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

number of solutionsfinite groupcentral elementp-groupsp-element


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)


Related Items

On the number of solutions of \(x_1\cdots x_{p^k}=g\) in a finite \(p\)-group ⋮ Groups with many roots ⋮ Finite \(p\)-groups



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