The Fourth Janko Group

Hardcover | April 11, 2004

byAlexander A. Ivanov

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This text illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups - the fourth Janko group J_4.Aimed at graduates and researchers in group theory, geometry and algebra, Ivanov's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory.An indispensible resource, this book will be a unique and essential reference for researchers in the area.The author is a leading researcher in the field.

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This text illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups - the fourth Janko group J_4.Aimed at graduates and researchers in group theory, geometry and...

Alexander A. Ivanov is at Imperial College, London.

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Format:HardcoverDimensions:250 pages, 9.21 × 6.14 × 0.77 inPublished:April 11, 2004Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198527594

ISBN - 13:9780198527596

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Table of Contents

Preface1. Concrete group theory2. O_10 + (2) as a prototype3. Modifying the rank 2 amalgam4. Pentad group 13+12 . (L_3 (2) x Sym_5)5. Toward 2_+ 1+12 . 3 . Aut (M_22)6. The 1333-dimensional representation7. Getting the parabolics together8. 173,067,389-vertex graph triangle9. History and beyondAppendices10. Terminology and notation11. Matthieu groups and their geometriesReferencesIndex