On groups with a non-central cyclic normal subgroup of order 4. (Q2459024)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On groups with a non-central cyclic normal subgroup of order 4. |
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On groups with a non-central cyclic normal subgroup of order 4. (English)
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5 November 2007
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It is proved that if a group \(G\) has a non-central cyclic normal subgroup of order \(4\), then there are two elements \(x,y\in G\) such that \(x^2=y^2\) and \(xy\neq yx\).
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finite groups
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noncentral cyclic normal subgroups
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real conjugacy classes
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conjugacy classes of involutions
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