Finding nadir points in multi-objective integer programs

Date

2015-05-01

Author

Köksalan, Mustafa Murat
LOKMAN, BANU

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Let H be a subgroup of a finite group G, and suppose that H contains a Sylow p-subgroup P of G. Write N=NG(H)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N = \mathbf{N}_{G}(H)$$\end{document}, and assume that the Sylow p-subgroups of H boolean AND Hg\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H \cap H<^>g$$\end{document} are cyclic for all elements g is an element of G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g \in G$$\end{document} not lying in N. We show that in this situation, N controls G-fusion in P.

Subject Keywords

Management Science and Operations Research, Control and Optimization, Applied Mathematics, Computer Science Applications

URI

https://hdl.handle.net/11511/52112

Journal

JOURNAL OF GLOBAL OPTIMIZATION

DOI

https://doi.org/10.1007/s10898-014-0212-0

Collections

Department of Industrial Engineering, Article

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Citation Formats

M. M. Köksalan and B. LOKMAN, “Finding nadir points in multi-objective integer programs,” JOURNAL OF GLOBAL OPTIMIZATION, pp. 55–77, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52112.