Book contents
- Frontmatter
- PREFACE
- Contents
- CHAPTER 1 THE ORIGIN OF ERROR-CORRECTING CODES
- CHAPTER 2 FROM CODING TO SPHERE PACKING
- CHAPTER 3 FROM SPHERE PACKING TO NEW SIMPLE GROUPS
- APPENDIX 1 DENSEST KNOWN SPHERE PACKINGS
- APPENDIX 2 FURTHER PROPERTIES OF THE (24,12) GOLAY CODE AND THE RELATED STEINER SYSTEM S(5, 8, 24)
- APPENDIX 3 A CALCULATION OF THE NUMBER OF SPHERES WITH CENTERS IN Λ2 ADJACENT TO ONE, TWO, THREE AND FOUR ADJACENT SPHERES WITH CENTERS Λ2.
- APPENDIX 4 THE MATHIEU GROUP M24 AND THE ORDER OF M22
- APPENDIX 5 THE PROOF OF LEMMA 3.3
- APPENDIX 6 THE SPORADIC SIMPLE GROUPS
- BIBLIOGRAPHY
- INDEX
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APPENDIX 6 - THE SPORADIC SIMPLE GROUPS
Book contents
- Frontmatter
- PREFACE
- Contents
- CHAPTER 1 THE ORIGIN OF ERROR-CORRECTING CODES
- CHAPTER 2 FROM CODING TO SPHERE PACKING
- CHAPTER 3 FROM SPHERE PACKING TO NEW SIMPLE GROUPS
- APPENDIX 1 DENSEST KNOWN SPHERE PACKINGS
- APPENDIX 2 FURTHER PROPERTIES OF THE (24,12) GOLAY CODE AND THE RELATED STEINER SYSTEM S(5, 8, 24)
- APPENDIX 3 A CALCULATION OF THE NUMBER OF SPHERES WITH CENTERS IN Λ2 ADJACENT TO ONE, TWO, THREE AND FOUR ADJACENT SPHERES WITH CENTERS Λ2.
- APPENDIX 4 THE MATHIEU GROUP M24 AND THE ORDER OF M22
- APPENDIX 5 THE PROOF OF LEMMA 3.3
- APPENDIX 6 THE SPORADIC SIMPLE GROUPS
- BIBLIOGRAPHY
- INDEX
Summary
The main feature of this appendix is Table A6.1 which lists the twenty-six sporadic simple groups. Most of the information is taken directly from the corresponding tables in [37, pp. 172-176] and [65, p. 709].
As the table clearly shows, about the only items in complete agreement are the group orders. We have taken the dates of discovery from [65] as they indicate dates of initial discovery and not necessarily of the completed proof. The superscripts at the end of the discoverer(s’) name(s) are used whenever there was a discrepancy. These correspond to the cited references.
Table A6.1 appears on pages 212–215.
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- Publisher: Mathematical Association of AmericaPrint publication year: 1983