In this paper we prove that there are functions f ( p, m, n) and h(m) such that any finite p-group with an automorphism of order p n , whose centralizer has p m points, has a subgroup of derived length h(m) and index f ( p, m, n). This result gives a positive answer to a problem raised by E. I. Khuk
On a family of almost cyclic finite groups
โ Scribed by Miriam Hausman; Harold N. Shapiro
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 561 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
If \(g_{i}\) is a central sequence of unitaries in a \(\mathrm{I}_{1}\) factor, we show that under certain circumstances \(\lim _{n \rightarrow x_{i}} \operatorname{Ad}\left(\prod_{i=1}^{n} g_{i}\right)\) is an automorphism. Examples come naturally from solutions of the Yang-Baxter equation with a s
This paper contains a classification of finite linear spaces with an automorphism group which is an almost simple group of Lie type acting flag-transitively. This completes the proof of the classification of finite flag-transitive linear spaces announced in [BDDKLS].
Let A be a torsion-free group. A mixed group G is said to be an almost dense ลฝ . ## ลฝ . extension group ADE group of In the case that A is of rank 1 and G is cyclic for every prime p, we establish the p structure theorem, the representation theorem, the realization theorem, and the classification