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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also provide some examples and applications.
📌 3 Key Takeaways
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Objective & Hypothesis:For an odd prime $p$, we prove that a finite powerful $p$-group having rank two Frattini quotient has nonzero essential cohomology.
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Key Findings & Data:For an odd prime $p$, we prove that a finite powerful $p$-group having rank two Frattini quotient has nonzero essential cohomology.
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Conclusion & Impact:We also provide some examples and applications.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Cohomology of groups · essential cohomology · powerful $p$-groups
Abstract
For an odd prime $p$, we prove that a finite powerful $p$-group having rank two Frattini quotient has nonzero essential cohomology. We also provide some examples and applications.
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Cite This Article
AKSU, F. A. (2019). On essential cohomology of powerful $p$-groups. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 439–447. https://ajindex.com/articles/218061