منابع مشابه
Extending Characters from Hall Subgroups
Suppose that G is a finite π-separable group. A classical result asserts that all irreducible characters of a Hall π-subgroup H of G extend to G if and only if H has a normal complement in G. Now, we fix a prime p and analyze when only the p-degree irreducible characters of H extend to G. 2010 Mathematics Subject Classification: 20C15 (primary), 20G40 (secondary)
متن کاملNormal Subgroups of the Free Group
We present a method of producing normal subgroups of the free group on r generators not containing a given word. Special attention is given to the normal subgroups of the free group on two generators. In considering the exponent sum of the generators in a given word, we produce such subgroups and clearly state for what class of words these subgroups are not easily obtainable. We also provide a ...
متن کاملRank 3 Permutation Characters and Maximal Subgroups
Let G be a transitive permutation group acting on a finite set E and let P be the stabilizer in G of a point in E. We say that G is primitive rank 3 on E if P is maximal in G and P has exactly three orbits on E. For any subgroup H of G, we denote by 1H the permutation character (or permutation module) over C of G on the cosets G/H. Let H and K be subgroups of G. We say 1H 6 1 G K if 1 G K − 1 G...
متن کامل-Q-Fuzzy Subgroups and Normal Subgroups
In this paper, the notions of , q -Q-fuzzy subgroup and normal subgroup are introduced and some of their properties are investigated.
متن کاملClassification of Normal Subgroups of the Modular Group
where a, b, c, d are rational integers and ad-bc= 1. Then T is generated by the linear fractional transformations S, T where St = t+ 1, 7V= — 1/t and is the free product of the cyclic group {T} of order 2 and the cyclic group {ST} of order 3. Let G be a normal subgroup of T of finite index p. It is known that there is just one such subgroup for p=l, 2, 3 which may be described as T", the subgro...
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: Nagoya Mathematical Journal
سال: 1962
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000023849