Minimal Nonsolvable Bieberbach Groups

Several authors have shown that there exist nonsolvable Bieberbach groups of dimension 15. In this paper, we show that this is, in fact, a minimal dimension for such groups.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.27256034
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Minimal Nonsolvable Bieberbach Groups

Figshare
Finite Group Theory Research
article

Minimal Nonsolvable Bieberbach Groups

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Abstract

Several authors have shown that there exist nonsolvable Bieberbach groups of dimension 15. In this paper, we show that this is, in fact, a minimal dimension for such groups.

Figshare
Reduced inequalities
Openalex Percentile: Top 46%
Finite Group Theory Research
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Minimal Nonsolvable Bieberbach Groups · Figshare (2025) | TGRS Research Map | TGRS