{"product_id":"topics-in-groups-and-geometry-growth-amenability-and-random-walks-springer-monographs-in-mathematics","title":"Topics in Groups and Geometry: Growth, Amenability, and Random Walks (Springer Monographs in Mathematics)","description":"\u003ch2\u003eBook Details\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Tullio Ceccherini-Silberstein\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: 1st Edition, 2021\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9783030881115\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguages\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePackage Dimensions\u003c\/strong\u003e: 9.3 x 6.1 x 1.2 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch2\u003eAbout the Book\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003e\"Geometric Group Theory: Inspired by Gromov's Work\"\u003c\/strong\u003e by \u003cstrong\u003eTullio Ceccherini-Silberstein\u003c\/strong\u003e provides an in-depth exposition of key topics in geometric group theory, all linked through the foundational contributions of Mikhail Gromov in the 1980s. The book introduces classical theorems about nilpotent and solvable groups, offers a deep dive into group growth, and explores asymptotic cones. Additionally, it covers essential subjects such as dimension theory, hyperbolic geometry, the Burnside problem, amenability, and random walks on groups.\u003c\/p\u003e\n\u003cp\u003eThe author expertly unifies these diverse topics under the umbrella of \u003cstrong\u003eGromov’s theorem\u003c\/strong\u003e, which states that finitely generated groups of polynomial growth are virtually nilpotent. This theorem has sparked a fascinating area of research, and this book serves to gather many related results that have been scattered across the literature, many for the first time in book form.\u003c\/p\u003e\n\u003cp\u003eWritten for mature undergraduate and graduate students in mathematics, this book offers a clear and accessible introduction to geometric, analytic, and probabilistic aspects of infinite groups. It assumes basic familiarity with group theory and topology and presents the material in a way that bridges abstract theory with practical applications.\u003c\/p\u003e\n\u003cp\u003eWhether you are a student delving into group theory or a researcher seeking an understanding of Gromov-inspired geometric group theory, this book provides an invaluable resource for expanding your knowledge in this dynamic area of mathematics.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":49951764676912,"sku":"Sarat_9783030881115","price":7560.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/springer-book-default-title-topics-in-groups-and-geometry-growth-amenability-and-random-walks-springer-monographs-in-mathematics-41326721171760.jpg?v=1775949803","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/topics-in-groups-and-geometry-growth-amenability-and-random-walks-springer-monographs-in-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}