Automorphism group of the reduced power (di)graph of a finite group
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866917836503384064 |
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| author | Anitha, T. Rajkumar, R. |
| author_facet | Anitha, T. Rajkumar, R. |
| contents | We describe the full automorphism group of the directed reduced power graph and the undirected reduced power graph of a finite group. We compute the full automorphism groups of these graphs of several classes of finite groups. Also, we establish some relation between the automorphism group of the undirected reduced power graph (resp. the directed reduced power graph) and the automorphism group of the undirected power graph (resp. the directed power graph) of a finite group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_01054 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Automorphism group of the reduced power (di)graph of a finite group Anitha, T. Rajkumar, R. Group Theory 05C25, 20B25 We describe the full automorphism group of the directed reduced power graph and the undirected reduced power graph of a finite group. We compute the full automorphism groups of these graphs of several classes of finite groups. Also, we establish some relation between the automorphism group of the undirected reduced power graph (resp. the directed reduced power graph) and the automorphism group of the undirected power graph (resp. the directed power graph) of a finite group. |
| title | Automorphism group of the reduced power (di)graph of a finite group |
| topic | Group Theory 05C25, 20B25 |
| url | https://arxiv.org/abs/2206.01054 |