TY - BOOK AU - Ivanov,A.A. TI - The Monster group and Majorana involutions T2 - Cambridge tracts in mathematics SN - 9780511576812 (ebook) AV - QA177 .I94 2009 U1 - 512.23 22 PY - 2009/// CY - Cambridge PB - Cambridge University Press KW - Sporadic groups (Mathematics) KW - Involutes (Mathematics) N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Mâ‚‚â‚„ and all that -- Monster amalgam [actual symbol not reproducible] -- 196 883-representation of [actual symbol not reproducible] -- 2-local geometries -- Griess algebra -- Automorphisms of Griess algebra -- Important subgroups -- Majorana involutions -- Monster graph -- Fischer's story N2 - This is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups, modular forms and conformal field theory. Through construction via the Monster amalgam - one of the most promising in the modern theory of finite groups - the author observes some important properties of the action of the Monster on its minimal module, which are axiomatized under the name of Majorana involutions. Development of the theory of the groups generated by Majorana involutions leads the author to the conjecture that Monster is the largest group generated by the Majorana involutions UR - https://doi.org/10.1017/CBO9780511576812 ER -