Abstract
We prove that if G is a finite 2-generated p-group of nilpotence class at most 2 then the group algebra of G with coefficients in the field with p elements determines G up to isomorphisms.
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Communicated by Gadadhar Misra.
Dedicated to the 80th anniversary of I.B.N. Passi.
The first author has been partially supported by Fundación Séneca of Murcia under a Jiménez de la Espada grant 20598/IV/18. The second author has been partially supported by the Spanish Government under Grant MTM2016-77445-P with “Fondos FEDER” and, by Fundación Séneca of Murcia under Grants 19880/GERM/15.
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Broche, O., del Río, Á. The Modular Isomorphism Problem for two generated groups of class two. Indian J Pure Appl Math 52, 721–728 (2021). https://doi.org/10.1007/s13226-021-00182-w
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DOI: https://doi.org/10.1007/s13226-021-00182-w