Enumeration of subgroups in the fundamental groups of orientable circle bundles over surfaces

DOI10.1080/00927870008826924zbMath0955.57015OpenAlexW2073216477MaRDI QIDQ4953288

Alexander Mednykh, Valery A. Liskovets

Publication date: 27 February 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008826924

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Covering spaces and low-dimensional topology (57M10) General low-dimensional topology (57M99) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (11)

On the coverings of Hantzsche-Wendt manifold ⋮ The enumeration of coverings of closed orientable Euclidean manifolds \(\mathcal{G}_3\) and \(\mathcal{G}_5\) ⋮ Applying TQFT to count regular coverings of Seifert 3-manifolds ⋮ On the divisibility of \(\#\Hom(\Gamma,G)\) by \(|G|\). ⋮ On combinatorial generalization(s) of Borel transform: averaging method in combinatorics of symmetric polynomials ⋮ Statistics of finite degree covers of torus knot complements ⋮ On the coverings of closed orientable Euclidean manifolds G2 and G4 ⋮ On the coverings of Euclidean manifolds ℬ₁ and ℬ₂ ⋮ Subgroup growth of right‐angled Artin and Coxeter groups ⋮ Counting conjugacy classes of subgroups in a finitely generated group. ⋮ A new method for counting coverings over manifold with finitely generated fundamental group

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