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Dergiler / 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
Sayfa
1292–1305
Yayın Tarihi
2021-10-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:This result generalizes similar results which are obtained for abelian, dihedral, generalized quaternion, semidihedral and wreathed $2$-group vertices.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (20)

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