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First, it provides several useful properties of pseudo-conjugation actions that should simplify other calculations. Second, it extends specific concepts of group theory, such as AC-groups and the notion of isoclinism between two groups, among others. A connection between a pseudo-conjugation action and the conjugation action is also examined. <\/jats:p>","DOI":"10.1142\/s0218196725500018","type":"journal-article","created":{"date-parts":[[2024,12,14]],"date-time":"2024-12-14T05:37:39Z","timestamp":1734154659000},"page":"223-241","source":"Crossref","is-referenced-by-count":0,"title":["On pseudo-conjugation actions of finite groups and related topics"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-8424-8055","authenticated-orcid":false,"given":"T. L. 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