Classification and statistics of finite index subgroups in free products.
type: Item
instance of: scholarly article
title: Classification and statistics of finite index subgroups in free products.
zbMATH Open document ID: 1063.20027
author: T. W. Müller
author: Jan-Christoph Schlage-Puchta
published in: Advances in Mathematics
publication date: 2004-10-01T00:00:00Z
review text: The principal theme of this article is the enumeration of finite index subgroups \(\Delta\) in a free product \(\Gamma\) of finite groups under various restrictions on the isomorphism type of \(\Delta\). The authors resolve the realization, asymptotic, and distribution problems for the free products \(\Gamma\) of cyclic groups of prime order.
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20F69
zbMATH DE Number: 2105304
zbMATH Keywords: free products
zbMATH Keywords: modular group
zbMATH Keywords: classification of subgroups
zbMATH Keywords: distribution of isomorphism types
zbMATH Keywords: subgroup growth
zbMATH Keywords: generalized permutation representations
zbMATH Keywords: wreath product representations
zbMATH Keywords: subgroups of finite index
MaRDI profile type: Publication
full work available at URL: j.aim.2003.09.005
OpenAlex ID: W2085117738
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DOI: 10.1016/J.AIM.2003.09.005
description: scientific article; zbMATH DE number 2105304