Isomorphism classes and zeta-functions of some nilpotent groups.

DOI10.3836/tjm/1374497517zbMath1287.20035OpenAlexW4245458067MaRDI QIDQ367018

Fumitake Hyodo

Publication date: 25 September 2013

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1374497517

zbMATH Keywords

subgroups of finite indexfinitely generated groupsHeisenberg groupscommensurabilitysubgroup zeta functions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Other Dirichlet series and zeta functions (11M41)

Related Items (1)

Isomorphism classes and zeta-functions of some nilpotent groups. II.

Cites Work

• Functional equations for zeta functions of groups and rings
• Subgroups of finite index in nilpotent groups
• A note on finitely generated torsion-free nilpotent groups of class 2
• Rational and transcendental growth series for the higher Heisenberg groups
• Zeta functions of groups and rings
• Unnamed Item

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