Chase Vogeli

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math.KT2025

Derived induction theory for the K-theory of modular group algebras

Chase Vogeli

We prove an induction theorem for the higher algebraic K-groups of group algebras $k G$ of finite groups $G$ over characteristic $p$ finite fields $k$ . For a certain class of finite…

math.KT2024

The Galois-equivariant $K$ -theory of finite fields

David Chan, Chase Vogeli

We compute the $R O (G)$ -graded equivariant algebraic $K$ -groups of a finite field with an action by its Galois group $G$ . Specifically, we show these $K$ -groups split as the sum of…

Derived induction theory for the K-theory of modular group algebras

The Galois-equivariant K-theory of finite fields

The Galois-equivariant $K$ -theory of finite fields