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Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 1

Peiffer pairings in multisimplicial groups and crossed n-cubes and applications for bisimplicial groups

Erdal ULUALAN
Özgün GÜRMEN ALANSAL
Sayfa
360–386
Yayın Tarihi
2022-11-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also give explicit calculations of Peiffer pairings in the Moore bicomplex of a bisimplicial group to see the role of these pairings in the relationship between bisimplicial groups and crossed squares.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We explore the Peiffer pairings within the Moore complex of multisimplicial groups, and as an application, we give a detailed construction of a crossed n- cube from an n-simplicial group in terms of these pairings.
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Temel Bulgular & Veri:We explore the Peiffer pairings within the Moore complex of multisimplicial groups, and as an application, we give a detailed construction of a crossed n- cube from an n-simplicial group in terms of these pairings.
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Sonuç & Katkı:We also give explicit calculations of Peiffer pairings in the Moore bicomplex of a bisimplicial group to see the role of these pairings in the relationship between bisimplicial groups and crossed squares.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

We explore the Peiffer pairings within the Moore complex of multisimplicial groups, and as an application, we give a detailed construction of a crossed n- cube from an n-simplicial group in terms of these pairings. We also give explicit calculations of Peiffer pairings in the Moore bicomplex of a bisimplicial group to see the role of these pairings in the relationship between bisimplicial groups and crossed squares.

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Bu Makaleye Atıf Yap

ULUALAN, E., ALANSAL, Ö. G. (2022). Peiffer pairings in multisimplicial groups and crossed n-cubes and applications for bisimplicial groups. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 1, 360–386. https://ajindex.com/articles/607355

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Kaynakça (20)

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