Finite quaternion-free 2-groups. (Q2472713)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite quaternion-free 2-groups. |
scientific article |
Statements
Finite quaternion-free 2-groups. (English)
0 references
22 February 2008
0 references
An elementary proof of the classification theorem for finite nonmodular quaternion-free \(2\)-groups is presented. The proof is long and very involved. Note that there are some gaps in a related paper [\textit{B. Wilkens}, J. Algebra 258, No. 2, 477-492 (2002; Zbl 1022.20007)], devoted to the same theme.
0 references
finite \(2\)-groups
0 references
nonmodular groups
0 references
subgroup lattices
0 references
powerful groups
0 references
quaternion-free groups
0 references