Hom-actions and class equation for Hom-groups (Q6655060)
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scientific article; zbMATH DE number 7960193
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hom-actions and class equation for Hom-groups |
scientific article; zbMATH DE number 7960193 |
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Hom-actions and class equation for Hom-groups (English)
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20 December 2024
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Hom-groups are non-associative generalizations of groups, which were first studied in connection with Hom-Lie algebras, Witt algebras and Virasoro algebras. Some results similar to classical results in group theory have been proven for Hom-groups by the author, for instance see [\textit{M. Hassanzadeh}, Rocky Mt. J. Math. 49, No. 3, 773--787 (2019; Zbl 1458.20053)]. In this paper, the author extends the class equation from group theory to Hom-groups. As a next project, he suggests to work on analogues of Sylow's Theorems for Hom-Groups.
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Hom-groups
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Hom-subgroups
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Hom-quotient groups
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isomorphism
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Hom-group actions
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class equation
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