A group theoretical characterization of simple, locally finite, finitary linear groups
โ Scribed by J. I. Hall; B. Hartley
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 547 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
A locally finite, simple group G is said to be of 1-type if every Kegel cover for G has a factor which is an alternating group. In this paper we study the finite subgroups of locally finite simple groups of 1-type. We also introduce the concept of ''block-diagonal embeddings'' for groups of alternat
In this paper we characterize all permutation automata which can be linearly realized over the field GF(p) in terms of the group generated by the automaton. From this group theoretic characterization of linear permutation automata we derive, among other results, a complete characterization of all ho