Let G be a group. Following Ellis [10], a group M is said to be a G-group if there exists a homomorphism ': G ! Aut(M) such that Inn(M) 6 Im('). Inthepresent article we study the upper and lower G-central series of a G-group M and derive, among other results, a generalization of a famous theorem by Hegarty on the autocentre of a group.
On the Autocentral Series of a Group / Brescia, M.; Ferrara, M.; Russo, A.. - In: ADVANCES IN GROUP THEORY AND APPLICATIONS. - ISSN 2499-1287. - 19:(2024), pp. 177-189. [10.32037/agta-2024-013]
On the Autocentral Series of a Group
Brescia M.
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2024
Abstract
Let G be a group. Following Ellis [10], a group M is said to be a G-group if there exists a homomorphism ': G ! Aut(M) such that Inn(M) 6 Im('). Inthepresent article we study the upper and lower G-central series of a G-group M and derive, among other results, a generalization of a famous theorem by Hegarty on the autocentre of a group.File in questo prodotto:
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