A STRUCTURED DESCRIPTION OF THE GENUS SPECTRUM OF ABELIAN p-GROUPS

DOI10.1017/S0017089518000265zbMath1477.20100arXiv1604.04065OpenAlexW2588574774MaRDI QIDQ5235135

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Publication date: 7 October 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04065

Mathematics Subject Classification ID

Finite abelian groups (20K01) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Group actions on manifolds and cell complexes in low dimensions (57M60) Finite nilpotent groups, (p)-groups (20D15) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (3)

Finite symmetries of surfaces of p-groups of co-class 1 ⋮ A new approach to the genus spectra of abelian \(p\)-groups ⋮ Non-abelian simple groups act with almost all signatures

Uses Software

• GAP

Cites Work

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• Abelian \(p\)-groups of symmetries of surfaces
• Symmetries of surfaces
• The stable genus increment for group actions on closed 2-manifolds
• \(p\)-groups of symmetries of surfaces
• Groups related to compact Riemann surfaces
• Cyclic p-groups of symmetries of surfaces
• On the genus spectrum for p-groups of exponent p and p-groups of maximal class
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• Abelian Groups of Automorphisms of Compact Riemann Surfaces

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