On Recognizability of the Group $E_8(q)$ by the Set of Orders of Elements
We prove that if a finite group G has the same set of orders of elements as the group E 8(q), then O 3(G/F(G)) is isomorphic to E 8(q).
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4137 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We prove that if a finite group G has the same set of orders of elements as the group E 8(q), then O 3(G/F(G)) is isomorphic to E 8(q). |
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