Rahul Aggarwal, Graduate Student Researcher
Saifallah Benjaafar, Faculty Collaborator
Jim Beyer, Graduate Student Researcher
Feng Cao, Graduate Student Researcher
Tai-Sheng Chang, Graduate Student Researcher
Yingfei Dong, Graduate Student Researcher
Zhenhai Duan, Graduate Student Researcher
Holger W. Gollan, Institute of Experimental Mathematics, Essen University, Essen, Germany
Jen-Wei Hsieh, Graduate Student Researcher
Eric Q. Kang, Graduate Student Researcher
Daeyoung Kim, Graduate Student Researcher
Yen-Jen Lee, Graduate Student Researcher
Dan Li, Graduate Student Researcher
Hyeran Lim, Graduate Student Researcher
Chien-Liang (Jonathan) Liu, Graduate Student Researcher
LiPing Lu, Graduate Student Researcher
Wei-Shiu Ma, Graduate Student Researcher
Gerhard O. Michler, Institute of Experimental Mathematics, Essen University, Essen, Germany
Srihari Nelakuditi, Graduate Student Researcher
Sangyup Simon Shim, Graduate Student Researcher
Sejun Song, Graduate Student Researcher
Anand Srinivasan, Graduate Student Researcher
Rose Tsang, Graduate Student Researcher
N.R. Vaidyanathan, Graduate Student Researcher
Harish Vedavyasa, Graduate Student Researcher
Michael Weller, Institute of Experimental Mathematics, Essen University, Essen, Germany
Weiman (Wayne) Xin, Graduate Student Researcher
Da-Wei (David) Yau, Graduate Student Researcher
Zhi-Li Zhang, Faculty Collaborator
99/51 |
"Distributed Network Computing over Local ATM Networks," M. Lin, J. Hsieh, D.H.C. Du, J.P. Thomas, and J.A. MacDonald, University of Minnesota Supercomputing Institute Research Report UMSI 99/51, April 1999. |
99/52 |
"Networked Hyper QuickTime: Video-based Hypermedia Authoring and Delivery for Education-On-Demand," W. Ma, Y. Lee, D.H.C. Du, and M. McCahill, University of Minnesota Supercomputing Institute Research Report UMSI 99/52, April 1999. |
99/53 |
"PCR-Assist CBR for Delivering Pre-Recorded MPEG-2 Transport Streams," D.H.C. Du, J. Hsieh, H.J. Lee, and T. Chang, University of Minnesota Supercomputing Institute Research Report UMSI 99/53, April 1999. |
99/54 |
"Supporting Random Access on Real-time Retrieval of Digital Continuous Media," J. Liu, D.H.C. Du, and J. Schnepf, University of Minnesota Supercomputing Institute Research Report UMSI 99/54, April 1999. |
99/55 |
"A Systematic Approach to Design the Network-based Learning Environment for Home and Office," Y. Lee, H.J. Lee, W. Ma, and D.H.C. Du, University of Minnesota Supercomputing Institute Research Report UMSI 99/55, April 1999. |
99/56 |
"Virtual Network Laboratory with Web Executable Content," Y. Lee, W. Ma, and D.H.C. Du, J.A. Schnepf, University of Minnesota Supercomputing Institute Research Report UMSI 99/56, April 1999. |
99/57 |
"Scalable Multimedia Server Based on Serial Storage Architecture," S. Shim, T. Chang, Y. Wang, J. Hsieh, and D.H.C. Du, University of Minnesota Supercomputing Institute Research Report UMSI 99/57, April 1999. |
99/58 |
"Efficient Implementation of RAID-5 Using Disk Based Read Modify Writes," S. Shim, Y. Wang, J. Hsieh, T. Chang, and D.H.C. Du, University of Minnesota Supercomputing Institute Research Report UMSI 99/58, April 1999. |
99/59 |
"Creating a Virtual Network Laboratory," Y. Lee, W. Ma, D.H.C. Du, and J. Schnepf, University of Minnesota Supercomputing Institute Research Report UMSI 99/59, April 1999. |
99/60 |
"Enhanced PVM Communications over a High-Speed Local Area Network," S.-L. Chang, D.H.C. Du, J. Hsieh, M. Lin, and R.P. Tsang, University of Minnesota Supercomputing Institute Research Report UMSI 99/60, April 1999. |
This project is computing a short presentation of Janko's group J4 with the results already obtained and Gebhardt's algorithm. Since this algorithm will benefit from shared memory architectures, these researchers are using the SGI Origin 2000 at the Supercomputing Institute.
Mathematically, these computations are important for the classification of the finite simple groups. Computations on J4 have not been completed yet, but a new existence proof of Janko's simple group J4 has been given. The proof is based on Weller's construction of the harsh table of the permutation representation of J4 of degree 173.067.389. It has taken about sixty thousand computing hours. This permutation representation has been used to construct J4 inside GL112 and another permutation representation much easier to handle on a supercomputer.
Recently, these researchers have obtained an algorithm for the construction of a small defining set of relations for a finite group. It has been implemented on the IBM RS 6000 workstation cluster of the Institute of Experimental Mathematics and the IBM supercomputer at the Supercomputing Institute.
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