佐賀大学理工学部
第200回応数談話会

代数学セミナー

日時

I. 2008年 7月25日(金)　 16:10 - 17:10
II. 2008年 7月28日(月) 16:10 - 17:10

講演者

ハスネーヌ サイエッド ムハマッド 氏（先端科学技術大学[NUCES Lahore Campus]）

題目

I. Modular Group Action on the real extensions of the rational field.
II. On the dimension theory of graphs.

要旨

I. Modular Group actions on quadratic extensions of the rational field Q are being studied by Q. Mushtaq, A.Majeed, S.M.Husnine, M.Aslam and I. Kausar for the last fifteen years. It involves classification of irrational numbers of quadratic fields and determination of orbits and closed paths under modular group action. In this lecture we present a survey of the results on the subject and begin a similar study of the cubic extensions of the rational field. Some classification of the cubic field is obtained and modular group action is examined.
II. Let G be a connected graph and d(x, y) be the distance between the vertices x y. A subset of vertices W= {w1, w2 ..., wk} is called a resolving set for G if for every distinct vertices x, y in V (G) there is a vertex wi in W such that d(x, wi) is not equal to d(y, wi). A resolving set containing minimum number of vertices is called a metric basis for G and the number of vertices in a metric basis is called its metric dimension. In this lecture we shall discuss the metric dimension of various graphs and present some open problems.

談話会

日時

2008年 7月29日(火) 16:10 - 17:10

講演者

ハスネーヌ サイエッド ムハマッド 氏（先端科学技術大学, ラホール キャンパス [HUSNINE Syed Muhammad, NUCES Lahore Campus]）

題目

Determination of Finite Groups.

要旨

The general problem of finding all finite groups up to isomorphism is too difficult although the list of finite simple groups is known. In this lecture we shall discuss the partial answers to this problem and in some detail the problem of finding all p-groups.

場所

数理科学科大セミナー室（理工学部6号館(DC棟)5階501号室）

連絡先

〒840-8502 佐賀市本庄町1 佐賀大学理工学部数理科学科
応数談話会→宮崎 誓 [miyazaki＠]
TEL 0952-28-8527 　FAX 0952-28-8501
代数学セミナー→中原 徹 NUCES Peshawar Campus, Saga U.(emeritus) [toru.nakahara＠nu.edu.pk, nakahara＠ms.saga-u.ac.jp]