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Trofimov, V · 1984

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math.GR 1

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2026 1

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Subperiodic groups and bounded automorphisms of periodic graphs

math.GR · 2026-05-12 · unverdicted · novelty 7.0

Subperiodic groups in dimension 3 are partitioned into 32 rod and 34 layer isomorphism classes via subgroup-count invariants up to index 12 or 8; Cayley graphs of space groups admit bounded finite-order automorphisms precisely when their inverse-closed generating sets are stabilized by finite-order

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  • Subperiodic groups and bounded automorphisms of periodic graphs math.GR · 2026-05-12 · unverdicted · none · ref 44

    Subperiodic groups in dimension 3 are partitioned into 32 rod and 34 layer isomorphism classes via subgroup-count invariants up to index 12 or 8; Cayley graphs of space groups admit bounded finite-order automorphisms precisely when their inverse-closed generating sets are stabilized by finite-order