Sufficient criterion for the existence of a \(2\)-complete part in a group (Q1204906)
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scientific article; zbMATH DE number 146509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient criterion for the existence of a \(2\)-complete part in a group |
scientific article; zbMATH DE number 146509 |
Statements
Sufficient criterion for the existence of a \(2\)-complete part in a group (English)
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1 April 1993
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We study a group \(G\) with involution satisfying the following conditions: 1) the \(\text{gr}(i,i^ g)\), \(g\in G\), are finite; 2) the normalizer of any finite subgroup of \(G\) containing \(i\) has a finite periodic part. We show that in this case the group \(G\) contains a 2-complete part.
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involution
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normalizer
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finite subgroup
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finite periodic part
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2-complete part
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