I am looking for ways to improve my mathematical French while learning more material about either finite group theory or geometric group theory. In particular, I would love to find a French equivalent to Rotman's group theory book, if possible. As far as geometric group theory goes, I am open to about anything, but I love Cayley graphs and hyperbolic groups. I apologize if this request is too vague, but do any of you have suggestions for French texts in these areas? In terms of mathematical background, I would consider myself a beginner with a decent foundation in these subjects. Thanks in advance!
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I suggest the survey articles of Séminaire Bourbaki, such as Ghys, Étienne Groupes aléatoires (d'après Misha Gromov,…). Astérisque No. 294 (2004), viii, 173–204. Ghys, Étienne Les groupes hyperboliques. Séminaire Bourbaki, 32 (1989-1990), Exposé No. 722, 36 p. Tits, Jacques Groupes à croissance polynomiale. Séminaire Bourbaki, 23 (1980-1981), Exposé No. 572, 13 p. At a more elementary level, there are short articles on various topics in the Gazette des Mathématiciens, such as Topologie, théorie des groupes et problèmes de décision by Pierre de la Harpe in volume 125. At an even more elementary level, there are many highly readable and visually appealing online articles in the Images des Mathématiques such as this one: Un concept mathématique, trois notions : Les groupes au XIXe siècle chez Galois, Cayley, Dedekind, by Caroline Ehrhardt. Happy reading ! |
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