The Number of Subgroups in the Fundamental Groups of Some Non-orientable 3-Manifolds

Valery Liskovets () and Alexander Mednykh ()

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 276-287 from Springer

Abstract: Abstract The present work supplements our previous enumerative research concerning surfaces and orientable circle bundles over surfaces. We enumerate subgroups of the fundamental groups of non-orientable S 1-bundles over closed surfaces (these bundles are also known as Seifert fiber spaces of types (N,n,I) and (N,o) without exceptional fibers). The results depend on the Euler number of the bundles but they coincide for bundles over non-orientable and orientable surfaces of the same characteristic.

Keywords: Conjugacy Class; Fundamental Group; Closed Surface; Orientable Surface; Euler Number (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_25

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DOI: 10.1007/978-3-662-04166-6_25

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