منابع مشابه
NILPOTENT p-LOCAL FINITE GROUPS
In this paper we provide characterizations of p-nilpotency for fusion systems and p-local finite groups that are inspired by known result for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.
متن کاملOn Blocks of Representations of Finite Groups.
1 Buerger, M. J., "The arrangement of atoms in the wollastonite group of metasilicates," these PROCEEDINGS, 42, 113-116 (1956). 2Buerger, M. J., "The determination of the crystal structure of pectolite, Ca2NaHSi309," Zeit. Krist., 108, 248-261 (1956). 3 Mamedov, K. S., and N. V. Belov, "Crystal structure of wollastonite," Doklady Akad. Nauk. SSSR, 107, 463-466 (1956). 4 Buerger, M. J., and N. N...
متن کاملIrredundant Generating Sets of Finite Nilpotent Groups
It is a standard fact of linear algebra that all bases of a vector space have the same cardinality, namely the dimension of the vector space over its base field. If we treat a vector space as an additive abelian group, then this is equivalent to saying that an irredundant generating set for a vector space must have cardinality equal to the dimension of the vector space. The same is not true for...
متن کاملNilpotent Groups of Finite Morley Rank
Now assume |G : H| is infinite and that H is definable in G (but H need no longer be infinite or G-normal). Let Z = Z◦(G), and note that (a) implies that Z is infinite. If |Z : H ∩Z| is infinite, then |HZ : H| is infinite as well. In this case we are done since H ≤ HZ ≤ NG(H). Otherwise, |Z : H ∩Z| is finite, so the connectedness of Z implies that Z ≤ H. We can now proceed by induction on the r...
متن کاملOn the number of conjugacy classes of finite nilpotent groups
We establish the first super-logarithmic lower bound for the number of conjugacy classes of a finite nilpotent group. In particular, for any constant c there are only finitely many finite p-groups of order pm with at most c ·m conjugacy classes. This answers a question of L. Pyber.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1994
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1008