Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups by Curtis, Robert T.

Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups (Hardcover) (ISBN-13: 9780521857215)

Vendor: Robert T. Curtis
Product type: Books
Format: Hardcover
$142.00
$142.00
$142.00
Subtotal: $142.00
Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups by Curtis, Robert T.

Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups

$142.00
Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups by Curtis, Robert T.

Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups

$142.00
Format: Hardcover
Description
Description
x
Some of the most beautiful mathematical objects found in the last forty years are the sporadic simple groups. However, gaining familiarity with these groups presents problems for two reasons. First, they were discovered in many different ways, so to understand their constructions in depth one needs to study lots of different techniques. Second, since each of them is in a sense recording some exceptional symmetry in spaces of certain dimensions, they are by their nature highly complicated objects with a rich underlying combinatorial structure. Motivated by initial results which showed that the Mathieu groups can be generated by highly symmetrical sets of elements, which themselves have a natural geometric definition, the author develops from scratch the notion of symmetric generation. He exploits this technique by using it to define and construct many of the sporadic simple groups including all the Janko groups and the Higman-Sims group. This volume is suitable for researchers and postgraduates.

Author: Robert T. Curtis
ISBN-10: 052185721X
ISBN-13: 9780521857215
Publisher: Cambridge University Press
Language: English
Published: 07/05/2007
Pages: 332
Format: Hardcover
Weight: 1.57lbs
Size: 9.27h x 6.56w x 0.84d

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