منابع مشابه
Some Remarks on Nilpotent Groups with Roots
is soluble for every pG.m and every gGG. Similarly we call a group G a Dor-group if the equation (1) (above) is not only soluble, but uniquely soluble. The class of Fur-groups and the class of Dor-groups will be denoted respectively by Em and Dm. Clearly Em~2)Dm. There is a less trivial relationship between these two classes of groups. If we denote by ©(C) the class of groups which occur as hom...
متن کاملNilpotent Representations of Classical Quantum Groups at Roots of Unity
Properly specializing the parameters in “Schnizer modules”, for type A,B,C and D, we get its unique primitive vector. Then we show that the module generated by the primitive vector is an irreducible highest weight module of finite dimensional classical quantum groups at roots of unity.
متن کاملConnected transversals to nilpotent groups
We prove that a finite group with nilpotent subgroup H and H-connected transversals is solvable. The proof depends on the classification of finite simple groups.
متن کاملNilpotent Groups
The articles [2], [3], [4], [6], [7], [5], [8], [9], [10], and [1] provide the notation and terminology for this paper. For simplicity, we use the following convention: x is a set, G is a group, A, B, H, H1, H2 are subgroups of G, a, b, c are elements of G, F is a finite sequence of elements of the carrier of G, and i, j are elements of N. One can prove the following propositions: (1) ab = a · ...
متن کاملPseudocomplete Nilpotent Groups
Scmicomplctc nilpotcnt groups, that is, nilpotent groups with no outer automorphisms, have been of interest for many years. In this paper pscudocomplete nilpotent groups, that is, nilpotent groups in which the automorphism group and the inner automorphism group arc isomorphic (not equal), are constructed. When suitable conditions are placed on the pseudocomplete nilpotent group, the quotient of...
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: Proceedings of the Glasgow Mathematical Association
سال: 1966
ISSN: 2040-6185,2051-2104
DOI: 10.1017/s2040618500035280