## Finite groups, maximal class MSC (2010) 20D15 Let R be the ring Z[x]/ x p -1 x -1 = Z[x] and let a be the ideal of R generated by (x -1). In this paper, we discuss the structure of the Z[Cp ]-module (R/a n -1 )∧(R/a n -1 ), which plays an important role in the theory of p-groups of maximal cla
On a Class of Doubly Transitive ω-Stable Groups
✍ Scribed by A. Borovik; M.J. Debonis; A. Nesin
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 479 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0021-8693
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We explore the class of generalized nilpotent groups in the universe c of all radical locally finite groups satisfying min-p for every prime p. We obtain that this class is the natural generalization of the class of finite nilpotent groups from the finite universe to the universe c . Moreover, the s
Partially supported by the research funds of Ministero dell'Uni¨ersita e della Ricerca Scientifica e Tecnologica and by Grant 9300856.CT01 of Consiglio Nazionale delle Ricerche.
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