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cs.CC2026
Group Isomorphism and the Polylogarithmic-Time Hierarchy: Depth-2 Circuits and Lower Bounds
Joshua A. Grochow, Gülce Kardeş, Michael Levet
In this paper, we investigate the low-depth circuit complexity of Group Isomorphism in the multiplication (Cayley) table model. We prove the first circuit lower bounds for Group Is…
cs.CC2026
Parallel Algorithms for Group Isomorphism via Code Equivalence
Michael Levet
In this paper, we exhibit isomorphism tests for coprime extensions where is elementary Abelian and is Abelian; and groups where $\text{Rad}(…