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We also introduce an encoding of conjugates for groups of automorphisms and Galois extensions, and present the classical example demonstrating that the field of complex numbers is a Galois extension of the field of real numbers.<\/jats:p>","DOI":"10.2478\/forma-2025-0014","type":"journal-article","created":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T16:26:26Z","timestamp":1767975986000},"page":"175-183","source":"Crossref","is-referenced-by-count":1,"title":["Introduction to Galois Theory"],"prefix":"10.2478","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9587-8737","authenticated-orcid":false,"given":"Christoph","family":"Schwarzweller","sequence":"first","affiliation":[{"name":"Institute of Informatics , University of Gda\u0144sk , Poland"}]},{"given":"Agnieszka","family":"Rowi\u0144ska-Schwarzweller","sequence":"additional","affiliation":[{"name":"Institute of Informatics , University of Gda\u0144sk , Poland"}]}],"member":"374","published-online":{"date-parts":[[2025,12,31]]},"reference":[{"key":"2026033010152423027_j_forma-2025-0014_ref_001","unstructured":"David S. 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In Fairouz Kamareddine and Claudio Sacerdoti Coen, editors, Intelligent Computer Mathematics, pages 205\u2013210, Cham, 2021. Springer International Publishing. doi:10.1007\/978-3-030-81097-917.","DOI":"10.1007\/978-3-030-81097-9_17"},{"key":"2026033010152423027_j_forma-2025-0014_ref_009","doi-asserted-by":"crossref","unstructured":"Christoph Schwarzweller. Finite fields. Formalized Mathematics, 32(1):289\u2013302, 2024. doi:10.2478\/forma-2024-0024.","DOI":"10.2478\/forma-2024-0024"},{"key":"2026033010152423027_j_forma-2025-0014_ref_010","doi-asserted-by":"crossref","unstructured":"Christoph Schwarzweller and Agnieszka Rowi\u0144ska-Schwarzweller. The lattice of intermediate fields and other preliminaries to Galois theory. Formalized Mathematics, 33(1): 165\u2013174, 2025. doi:10.2478\/forma-2025-0013.","DOI":"10.2478\/forma-2025-0013"},{"key":"2026033010152423027_j_forma-2025-0014_ref_011","doi-asserted-by":"crossref","unstructured":"Ian Stewart. Galois Theory. 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