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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 5

The Brauer indecomposability of Scott modules with vertex $Q_{2^n}\times C_{2^m}$

İpek TUVAY
Pages
1292–1305
Publication Date
2021-10-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This result generalizes similar results which are obtained for abelian, dihedral, generalized quaternion, semidihedral and wreathed $2$-group vertices.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We prove that the Scott module whose vertex is isomorphic to a direct product of a generalized quaternion $2$-group and a cyclic $2$-group is Brauer indecomposable.
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Key Findings & Data:We prove that the Scott module whose vertex is isomorphic to a direct product of a generalized quaternion $2$-group and a cyclic $2$-group is Brauer indecomposable.
💡
Conclusion & Impact:This result generalizes similar results which are obtained for abelian, dihedral, generalized quaternion, semidihedral and wreathed $2$-group vertices.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:brauer indecomposability · Scott module · generalized quaternion group

Abstract

We prove that the Scott module whose vertex is isomorphic to a direct product of a generalized quaternion $2$-group and a cyclic $2$-group is Brauer indecomposable. This result generalizes similar results which are obtained for abelian, dihedral, generalized quaternion, semidihedral and wreathed $2$-group vertices.

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Cite This Article

TUVAY, İ. (2021). The Brauer indecomposability of Scott modules with vertex $Q_{2^n}\times C_{2^m}$. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 5, 1292–1305. https://ajindex.com/articles/669317

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