The density of subgroup indices

Aner Shalev

doi:10.1017/S1446788708000943

The density of subgroup indices

Aner Shalev^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For a group G and a real number x≥1 we let sG(x) denote the number of indices ≤x of subgroups of G. We call the function sG the subgroup density of G, and initiate a study of its asymptotics and its relation to the algebraic structure of G. We also count indices ≤x of maximal subgroups of G, and relate it to symmetric and alternating quotients of G.

Original language	English
Pages (from-to)	257-267
Number of pages	11
Journal	Journal of the Australian Mathematical Society
Volume	85
Issue number	2
DOIs	https://doi.org/10.1017/S1446788708000943
State	Published - Oct 2008

Bibliographical note

Funding Information:
Supported by ISF and BSF grants. ©c 2008 Australian Mathematical Society 1446-7887/08 $A2.00 + 0.00

Keywords

Essubgroup indices
Special linear groups

Access to Document

10.1017/S1446788708000943

Cite this

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The density of subgroup indices

Abstract

Bibliographical note

Keywords

Access to Document

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