Galois group

English Etymology Named after Évariste Galois, who first discovered them. Noun en algebra Galois theory The automorphism group of a Galois extension. en 1996 Patrick Morandi Field and Galois Theory https://books.google.com.au/books?id=HALy09o35TQC&pg=PA123&dq=%22Galois+group%22%7C%22Galois+groups%22&hl=en&sa=X&ved=0ahUKEwjkq6Pxq-TcAhXn5IMKHZnfD2IQ6AEIlQEwGA#v=onepage&q=%22Galois%20group%22%7C%22Galois%20groups%22&f=false 123 Springer In this section, we show how to determine the Galois group and the roots of an irreducible polynomial of degree 2, 3, or 4. en 2004 George Szeto; Liangyong Xue On Central Galois Algebras of a Galois Algebra Alberto Facchini; Evan Houston; Luigi Salce Rings, Modules, Algebras, and Abelian Groups CRC Press https://books.google.com.au/books?id=tmQHal8yeSwC&pg=PA493&dq=%22Galois+group%22%7C%22Galois+groups%22&hl=en&sa=X&ved=0ahUKEwjkq6Pxq-TcAhXn5IMKHZnfD2IQ6AEI0gEwIw#v=onepage&q=%22Galois%20group%22%7C%22Galois%20groups%22&f=false 493 Let be a Galois algebra over with Galois group , the center of , and A natural question is whether is a central Galois algebra with Galois group . en 2009 Steven H. Weintraub Galois Theory 2nd https://books.google.com.au/books?id=-RZDK6N4j8wC&pg=PA128&dq=%22Galois+group%22%7C%22Galois+groups%22&hl=en&sa=X&ved=0ahUKEwjkq6Pxq-TcAhXn5IMKHZnfD2IQ6AEIezAS#v=onepage&q=%22Galois%20group%22%7C%22Galois%20groups%22&f=false 128 Springer Our work actually gives an algorithm for computing Galois groups of polynomials : Usage notes The automorphism group of a Galois extension may be denoted . is the trivial group whose single element is the identity automorphism. Translations specific group associated with a field extension Arabic: ar زمرة غالوا Chinese: Mandarin: cmn 伽罗瓦群 Finnish: fi Galois'n ryhmä French: fr groupe de Galois Hungarian: hu Galois-csoport Italian: it gruppo di Galois m Japanese: ja ガロア群 Korean: ko 갈루아 군 Polish: pl grupa Galois f Russian: ru группа Галуа Spanish: es grupo de Galois See also en Galois algebra en Galois closure en Galois extension en Galois theory Further reading Galois theory Galois closure Galois extension en eponyms