THE REAL GENUS OF 2-GROUPS

DOI10.1142/S0219498807002090zbMath1158.30032OpenAlexW2096115688MaRDI QIDQ3435274

Coy L. May

Publication date: 25 April 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498807002090

zbMATH Keywords

automorphism groupreal genusbordered Klein surface2-groupnon-Euclidean crystallographic group

Mathematics Subject Classification ID

Klein surfaces (30F50) 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)

Related Items (8)

GROUPS OF EVEN REAL GENUS ⋮ The Groups of Symmetric Genus σ ≤ 8 ⋮ THE SYMMETRIC GENUS OF 2-GROUPS ⋮ Subdirect products of \(M^*\)-groups. ⋮ THE 2-GROUPS OF ODD STRONG SYMMETRIC GENUS ⋮ The real genus of the alternating groups. ⋮ The groups of real genus \(\rho\leq 16\). ⋮ The real genus spectrum of abelian groups

Uses Software

• Magma

Cites Work

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• Group actions on nonclosed 2-manifolds
• Automorphisms of compact Klein surfaces with boundary
• Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
• Finite groups acting on bordered surfaces and the real genus of a group
• Real genus 12
• Minimal genus of abelian actions on Klein surfaces with boundary
• The symmetric genus of 2-groups
• A Lower Bound for the Real Genus of a Finite Group
• THERE IS A GROUP OF EVERY STRONG SYMMETRIC GENUS
• The Classification of Non-Euclidean Plane Crystallographic Groups

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