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math.GR2026
The group identification problem for -groups of small order
Bettina Eick, Henrik Schanze
We investigate which group-theoretic invariants are powerful in distinguishing among non-isomorphic p-groups. Based on this, we devise an effective algorithm to solve the group ide…
math.GR2026
Quadratic Equations in Graph Products of Groups and the Exponent of Periodicity
Volker Diekert, Silas Natterer, Alexander Thumm
In 1977, Makanin established the decidability of equations in free monoids. A key ingredient in his proof is the exponent of periodicity: for a word , it is the largest exponent…