Large automorphism groups of compact Klein surfaces with boundary, I

DOI10.1017/S0017089500002950zbMath0363.14008MaRDI QIDQ4137296

Coy L. May

Publication date: 1977

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

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Riemann surfaces and uniformization (30F10) Coverings of curves, fundamental group (14H30) Other geometric groups, including crystallographic groups (20H15)

Related Items (42)

Bordered and unbordered Klein surfaces with maximal symmetry ⋮ A Bound for the Number of Automorphisms of a Compact Klein Surface with Boundary ⋮ Automorphism groups of compact planar Klein surfaces ⋮ The real genus of cyclic by dihedral and dihedral by dihedral groups ⋮ Nilpotent Automorphism Groups of Bordered Klein Surfaces ⋮ Automorphism groups of non-orientable elliptic-hyperelliptic Klein surfaces with boundary ⋮ Maximal Symmetry and Fully Wound Coverings ⋮ Bordered Klein Surfaces with Maximal Symmetry ⋮ Geometrical study of prime order automorphisms on Klein surfaces ⋮ The maximally symmetric surfaces in the 3-torus ⋮ Coverings between compact Klein surfaces ⋮ Full automorphism groups of large order of compact bordered Klein surfaces ⋮ Groups of automorphisms of bordered non-orientable Klein surfaces of topological genus 3 ⋮ Geometrical characterization of \(p\)-hyperelliptic planar Klein surfaces. ⋮ On the Tits alternative for a class of finitely presented groups with a special focus on symbolic computations ⋮ Group actions on nonclosed 2-manifolds ⋮ Some results on Hecke and extended Hecke groups ⋮ The real genus of the groups of order 48 ⋮ Finite group actions on handlebodies and equivariant Heegaard genus for 3-manifolds ⋮ On \(q\)-\(n\)-gonal Klein surfaces ⋮ Mumford curves and Mumford groups in positive characteristic ⋮ Subdirect products of \(M^*\)-groups. ⋮ Groups of real genus p + 1, where p is prime ⋮ Alternating groups, Hurwitz groups and \(H^*\)-groups. ⋮ Real genus actions of finite simple groups ⋮ On Nilpotent Groups of Automorphisms of Klein Surfaces ⋮ Zu Fragen der Analysis im Zusammenhang mit der Gleichung \(x^2_1+\dots+x^2_n- ax_1\dots x_n=b\) ⋮ The real genus of the alternating groups. ⋮ The groups of real genus \(\rho\leq 16\). ⋮ Hyperelliptic compact non-orientable Klein surfaces without boundary ⋮ ALTERNATING GROUPS AS AUTOMORPHISM GROUPS OF RIEMANN SURFACES ⋮ Minimal genus of abelian actions on Klein surfaces with boundary ⋮ Normal subgroups of even index in an NEC group ⋮ Automorphism groups of \(q\)-trigonal planar Klein surfaces and maximal surfaces ⋮ Principal congruence subgroups of the Hecke groups and related results ⋮ On the structure of the automorphism group of a compact Klein surface with N boundary components (1\(\leq N\leq 4)\) ⋮ Automorphism groups of algebraic curves of \(R^ n\) of genus 2 ⋮ Klein surfaces with maximal symmetry and their groups of automorphisms ⋮ GENERALIZED M*-GROUPS ⋮ \(q\)-trigonal Klein surfaces ⋮ Finite groups acting on bordered surfaces and the real genus of a group ⋮ Topological types of p-hyperelliptic real algebraic curves

Cites Work

• Unnamed Item
• Automorphisms of compact Klein surfaces with boundary
• On non-Euclidean crystallographic groups
• Lectures on Modular Forms. (AM-48)
• The Classification of Non-Euclidean Plane Crystallographic Groups

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