English

Zeta functions and subgroup growth in $P2/m$

Group Theory 2015-02-19 v1

Abstract

By means of zeta and normal zeta functions of space groups, we determine the number of subgroups, resp. normal subgroups, of the tenth crystallographic group for any given index. This enables us to draw conclusions on the subgroup growth and the degree of this group.

Keywords

Cite

@article{arxiv.1502.05372,
  title  = {Zeta functions and subgroup growth in $P2/m$},
  author = {Hermina Alajbegović and Muharem Avdispahić},
  journal= {arXiv preprint arXiv:1502.05372},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T08:32:41.883Z