SMALL p-GROUPS WITH FULL-RANK FACTORIZATION
نویسندگان
چکیده
منابع مشابه
Small P-Groups with Full-Rank Factorization
The problem of determining which abelian groups admit a full-rank normalized factorization is settled for the orders 64 = 26, 81 = 34, and 128 = 27. By a computer-aided approach, it is shown that such groups of these orders are exactly those of type (22, 22, 22), (22, 22, 2, 2), (23, 22, 22), (23, 22, 2, 2), (22, 22, 22, 2), and (22, 22, 2, 2, 2). Mathematics Subject Classification (2000): Prim...
متن کاملp-GROUPS WITH MAXIMAL ELEMENTARY ABELIAN SUBGROUPS OF RANK 2
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2. It follows that if G has rank greater than p, then the poset E(G) of elementary abelian subgroups of G of rank at least 2 is connected and the torsion-free rank of the group of endotrivial kG-modules is one, for any field k of charac...
متن کاملOn blocks with abelian defect groups of small rank
Let B be a p-block of a finite group with abelian defect group D. Suppose that D has no elementary abelian direct summand of order p. Then we show that B satisfies Brauer’s k(B)-Conjecture (i. e. k(B) ≤ |D|). Together with former results, it follows that Brauer’s k(B)-Conjecture holds for all blocks of defect at most 3. We also obtain some related results.
متن کاملWeyl groups of small groups of finite Morley rank
We examine Weyl groups of minimal connected simple groups of finite Morley rank of degenerate type. We show that they are cyclic, and lift isomorphically to subgroups of the ambient group.
متن کاملWeakly P-Small not P-Small Subsets in Groups
Answering a question of D.Dikranjan and I.Protasov we prove that each infinite group G contains a weakly P-small subset A ⊂ G which is not P-small. This means that for every n there are n pairwise disjoint translation copies of A in G but there is no infinitely many such disjoint copies. In this paper we answer a question of D.Dikranjan and I.Protasov concerning the relation between P-small and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2008
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196708004743