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The Monster group and Majorana invol...

Ivanov, A. A. (1958-)

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The Monster group and Majorana involutions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Monster group and Majorana involutions/ A.A. Ivanov.
其他題名:	The Monster Group & Majorana Involutions
作者:	Ivanov, A. A.
出版者:	Cambridge :Cambridge University Press, : 2009.,
面頁冊數:	xiii, 252 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	M24 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.
標題:	Sporadic groups (Mathematics) -
電子資源:	https://doi.org/10.1017/CBO9780511576812
ISBN:	9780511576812

The Monster group and Majorana involutions
Ivanov, A. A.1958-

The Monster group and Majorana involutions[electronic resource] /The Monster Group & Majorana InvolutionsA.A. Ivanov. - Cambridge :Cambridge University Press,2009. - xiii, 252 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;176. - Cambridge tracts in mathematics ;176..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

M24 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.

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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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.

ISBN: 9780511576812Subjects--Topical Terms:

631707
Sporadic groups (Mathematics)

LC Class. No.: QA177 / .I94 2009

Dewey Class. No.: 512.23

The Monster group and Majorana involutions
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520 $a 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.
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