Products of elements of even order
نویسندگان
چکیده
منابع مشابه
asymptotic property of order statistics and sample quntile
چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولOn constant products of elements in skew polynomial rings
Let $R$ be a reversible ring which is $alpha$-compatible for an endomorphism $alpha$ of $R$ and $f(X)=a_0+a_1X+cdots+a_nX^n$ be a nonzero skew polynomial in $R[X;alpha]$. It is proved that if there exists a nonzero skew polynomial $g(X)=b_0+b_1X+cdots+b_mX^m$ in $R[X;alpha]$ such that $g(X)f(X)=c$ is a constant in $R$, then $b_0a_0=c$ and there exist nonzero elements $a$ and $r$ in $R$ such tha...
متن کاملEven permutations as a product of two elements of order five
Let A,, denote the alternating group on H symbols. If II = 5, 6, 7, 10, 1 I, 12, 13 or n> 15, every permutation in A,, is the product of two elements of order 5 in A,. The same is true for n < 14, except for thirteen types of permutations, namely 3’, 22, 2“, 33, 2’3’4’, 225’, 2s4’, I’, I*, 13, l“, 3’1’. 241’. (For example, the permutation (12)(34)(56)(78)(9) is not the product of two elements o...
متن کاملInversive Planes of Even Order
1. Results. An inversive plane is an incidence structure of points and circles satisfying the following axioms: I. Three distinct points are connected by exactly one circle. II. If P, Q are two points and c a circle through P but not Q, then there is exactly one circle c' through P and Q such that cC\c'~ [P]. III. There are at least two circles. Every circle has at least three points. For any p...
متن کاملGeneralised Bhaskar Rao designs with elements from cyclic groups of even order
A necessary condition is given for the existence of some Generalised Bhaskar Rao designs (GBRDs) with odd block size over cyclic groups of even order. Some constructions are given for GBRDs over cyclic groups of even order with block size 3 and with block size 4. AMS Subject Classification: 05B99 J( ey words and phrases: Balanced Incomplete Block Designs; Generalised Bhaskar Rao Designs
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.07.015