Zeta functions and subgroup growth in $P2/m$

Hermina Alajbegovi\'c; Muharem Avdispahi\'c

arxiv: 1502.05372 · v1 · pith:G3IOHRFVnew · submitted 2015-02-18 · 🧮 math.GR

Zeta functions and subgroup growth in P2/m

Hermina Alajbegovi\'c , Muharem Avdispahi\'c This is my paper

classification 🧮 math.GR

keywords zetafunctionsgroupgrowthnormalsubgroupsubgroupsconclusions

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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.

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Zeta functions and subgroup growth in P2/m

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