Finite groups whose 2-subgroups are generated by at most 4 elements
The object of the memoir is to determine all finite simple (and more generally fusion-simple) groups each of whose 2-subgroups can be generated by at most 4 elements. Using a result of MacWilliams, we obtain as a corollary the classifications of all finite simple groups whose Sylow 2-subgroups do not possess an elementary abelian normal subgroups of order 8. The general introduction provides a fairly detailed outline of the over-all proof of our main classification theorem, including the method…
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- Full title :Finite groups whose 2-subgroups are generated by at most 4 elements / [by] Daniel Gorenstein and Koichiro Harada.
Summary
The object of the memoir is to determine all finite simple (and more generally fusion-simple) groups each of whose 2-subgroups can be generated by at most 4 elements. Using a result of MacWilliams, we obtain as a corollary the classifications of all finite simple groups whose Sylow 2-subgroups do not possess an elementary abelian normal subgroups of order 8. The general introduction provides a fairly detailed outline of the over-all proof of our main classification theorem, including the methods employed. The proof itself is divided into six major parts; and the introductory section of each part gives a description of the principal results to be proved in that part.
Read More ↓Edition Statements
- Publication Date:©1974.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©1974.
The Physical Object
- Description:vii, 464 pages ; : illustration, diagram ; : 26 cm.
Edition Identifiers
- ISBN:0821818473, 9780821818473
- oclc:ocm00940834
- LC Classification:QA3
- Dewey Decimal:510/.8 s
Table of Contents
Part I. Solvable 2-local subgroups -- Part II. 2-constrained 2-local subgroups -- Part III. Non 2-constrained centralizers of involutions ; some special cases -- Part IV. A characterization of the group [italic]D²[over]₄(3) -- Part V. Central involutions with non 2-constrained centralizers -- Part VI. A characterization of the group [italic]M₁₂.
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