منابع مشابه
Nearly Rational Frobenius Groups
In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.
متن کاملSome Conditions on Infinite Subsets of Infinite Groups
Let G be an infinite group. In this note we prove the following: For all 2 2 ) ( ) ( , , ba ab G b a = ∈ if and only if every two infinite subsets X and Y of G contain elements x and y, respectively such that . ) ( ) ( 2 2 yx xy = Also if } 2 { } 6 , 3 { N ∈ ∈ k n k U then for all n n ba b a G b a = ∈ , , if and only if every two infinite subsets X and Y of G contain elements x and y, respectiv...
متن کاملSome Maximal Subgroups of Infinite Symmetric Groups
THIS paper concerns maximal subgroups of symmetric groups on infinite, usually countable, sets. Our main aim is to give examples of maximal subgroups which could claim to be almost stabilisers of familiar combinatorial structures. We emphasise that maximal subgroup always means maximal proper subgroup. Throughout this paper, Cl will denote an infinite set, usually countable. The power set of Q ...
متن کاملThe Classification of Some Infinite Jordan Groups
WHEN we speak of a 'back and forth' construction for proving the isomorphism of two countable structures we call to mind the famous theorem of Cantor that any countable dense linearly ordered set without end-points is order-isomorphic to Q. Cantor's own proof requires only the 'going forth' part of the construction, however, and Adrian Mathias, on noticing this, asked for a classification of th...
متن کاملFrobenius Categories of Chevalley Groups
Notes for a course, held in the Biebrza Marshes, Poland, May 6–10, 2010, on Frobenius categories of finite groups of Lie type.
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: Journal of Algebra
سال: 1990
ISSN: 0021-8693
DOI: 10.1016/0021-8693(90)90170-s