$T_0$-group and its place in the theory of groups
A class of $T_0$-groups is characterized which is closely associated with free Burnside groups with odd period not less than 665. Examples based on the well-known Adyan and Olshanskii constructions are given. In addition, the place of a finite group in the class of all groups is indicated.
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4643 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | A class of $T_0$-groups is characterized which is closely associated with free Burnside groups with odd period not less than 665. Examples based on the well-known Adyan and Olshanskii constructions are given. In addition, the place of a finite group in the class of all groups is indicated. |
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