منابع مشابه
Finite Group Factorizations and Braiding
We compute the quantum double, braiding and other canonical Hopf algebra constructions for the bicrossproduct Hopf algebra H associated to the factorization of a finite group into two subgroups. The representations of the quantum double are described by a notion of bicrossed bimodules, generalising the cross modules of Whitehead. We also show that self-duality structures for the bicrossproduct ...
متن کاملRiordan group approaches in matrix factorizations
In this paper, we consider an arbitrary binary polynomial sequence {A_n} and then give a lower triangular matrix representation of this sequence. As main result, we obtain a factorization of the innite generalized Pascal matrix in terms of this new matrix, using a Riordan group approach. Further some interesting results and applications are derived.
متن کاملLamps, Factorizations, and Finite Fields
The origin of this study is the 1993 International Mathematical Olympiads, held at Istanbul, Turkey. Problem # 6, which occurred on day 2, reads: Let n > 1 be an integer. There are n lamps L0, . . . , Ln−1 arranged in a circle. Each lamp is either ON or OFF. A sequence of steps S0, S1, . . . , Sj , . . . is carried out. Step Sj affects the state of Lj only (leaving the state of all others lamps...
متن کاملconjugate factorizations of finite groups
in this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. the illustrated results are joint works with john cannon, dan levy, attila mar'oti and iulian i. simion.
متن کاملGracefulness, Group Sequencings and Graph Factorizations
In this article we survey recent results on the connection between decompositions of complete graphs which admit given automorphism groups, and some combinatorial problems related to these groups. Although these problems are of combinatorial nature, group theorists may find interest in these problems as well. Most of the results surveyed here are found in [10], [11], [12] and [14] (we do not gi...
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: 1996
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0112