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arXiv · 2502.12822

Grothendieck group of the Leavitt path algebra over power graphs of prime-power cyclic groups

Aslı Güçlükan İlhan·Müge Kanuni·Ekrem Şimşek
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Abstract

In this paper, the Grothendieck group of the Leavitt path algebra over the power graphs of all prime-power cyclic groups is studied by using a well-known computation from linear algebra. More precisely, the Smith normal form of the matrix derived from the adjacency matrix associated with the power graph of prime-power cyclic group is calculated.

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Aslı Güçlükan İlhan, Müge Kanuni, Ekrem Şimşek. 2025-02-18. Grothendieck group of the Leavitt path algebra over power graphs of prime-power cyclic groups. https://arxiv.org/abs/2502.12822

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