Reductive enumeration under mutually orthogonal group actions

DOI10.1023/A:1005950823566zbMath0908.05003OpenAlexW199076941MaRDI QIDQ1270635

Valery A. Liskovets

Publication date: 7 March 1999

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005950823566

zbMATH Keywords

fixed pointfree groupgroup actionquotient maprootplanar maporbit enumerationpermutation tuplesphere isometrysurface covering

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Exact enumeration problems, generating functions (05A15) Covering spaces and low-dimensional topology (57M10) Enumeration in graph theory (05C30) Configuration theorems in linear incidence geometry (51A20) General theory for finite permutation groups (20B05)

Related Items (8)

Enumerating regular graph coverings whose covering transformation groups are ℤ_2-extensions of a cyclic group ⋮ Balanced regular coverings of a signed graph and regular branched orientable surface coverings over a non-orientable surface ⋮ Enumeration of unrooted odd-valent regular planar maps ⋮ Counting conjugacy classes of subgroups in a finitely generated group. ⋮ Counting unrooted loopless planar maps ⋮ Enumeration of unrooted maps of a given genus ⋮ Enumerating branched orientable surface coverings over a non-orientable surface ⋮ Topological enumeration of complex polynomial vector fields

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