The orders of the classical simple groups
โ Scribed by Emil Artin
- Publisher
- John Wiley and Sons
- Year
- 1955
- Tongue
- English
- Weight
- 807 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
## Abstract Kestenband proved in [12] that there are only seven pairwise nonโisomorphic Hermitian intersections in the desarguesian projective plane PG(2, __q__) of square order __q__. His classification is based on the study of the minimal polynomials of the matrices associated with the curves and
In this paper, we obtain a quantitative characterization of all finite simple groups. Let ฯ t G denote the set of indices of maximal subgroups of group G and let P G be the smallest number in ฯ t G . We have the following theorems. Theorem 2. Let N and G be finite simple groups. If N divides G , P
All Ree groups F q are characterized by their element orders. แฎ 1999 Aca- 4 demic Press ลฝ . For any group G, denote by G the set of all element orders of G. e ลฝ . Clearly, G is a partially ordered set under the divisibility relation. e ลฝ . ลฝ ลฝ . . Given a finite resp., infinite group G, let h G be t
This paper gives a partial answer to the CherlinแZil'ber Conjecture, which states that every infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. The classification of the generic case of tame groups of odd type follows from the main res