We introduce some special system of generators on finite groups, that we call diagonal double Kodaira structures and whose existence is equivalent to the existence of some special Kodaira fibred surfaces, that we call diagonal double Kodaira fibrations. This allows us to rephrase in purely algebraic terms some results about finite Heisenberg groups, previously obtained in Causin and Polizzi (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XXII:1309–1352, 2021), and makes possible to extend them to the case of arbitrary extra-special p-groups.
Diagonal Double Kodaira Structures on Finite Groups / Polizzi, F.. - (2022), pp. 111-128. [10.1007/978-3-030-87502-2_12]
Diagonal Double Kodaira Structures on Finite Groups
Polizzi F.
2022
Abstract
We introduce some special system of generators on finite groups, that we call diagonal double Kodaira structures and whose existence is equivalent to the existence of some special Kodaira fibred surfaces, that we call diagonal double Kodaira fibrations. This allows us to rephrase in purely algebraic terms some results about finite Heisenberg groups, previously obtained in Causin and Polizzi (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XXII:1309–1352, 2021), and makes possible to extend them to the case of arbitrary extra-special p-groups.| File | Dimensione | Formato | |
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