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Title: Isopermutation group

Abstract

The concept of ‘Isotopy’ as formulated by Ruggero Maria Santilli [1, 2, 3] plays a vital role in the development of Iso mathematics. Santilli defined iso-fields of characteristic zero. In this paper we extend this definition to define Iso-Galois fields [4] which are essentially of non-zero characteristic. Isotopically isomorphic realizations of a group define isopermutation group which gives a clear cut distinction between automorphic groups and isotopic groups.

Authors:
 [1]
  1. Department of Mathematics, Mohota College of Science, NAGPUR-440009 India E-mail: amukti2000@yahoo.com (India)
Publication Date:
OSTI Identifier:
22391096
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; GROUP THEORY; ISO; MATHEMATICAL SOLUTIONS; SPACE GROUPS

Citation Formats

Muktibodh, A. S. Isopermutation group. United States: N. p., 2015. Web. doi:10.1063/1.4912707.
Muktibodh, A. S. Isopermutation group. United States. doi:10.1063/1.4912707.
Muktibodh, A. S. Tue . "Isopermutation group". United States. doi:10.1063/1.4912707.
@article{osti_22391096,
title = {Isopermutation group},
author = {Muktibodh, A. S.},
abstractNote = {The concept of ‘Isotopy’ as formulated by Ruggero Maria Santilli [1, 2, 3] plays a vital role in the development of Iso mathematics. Santilli defined iso-fields of characteristic zero. In this paper we extend this definition to define Iso-Galois fields [4] which are essentially of non-zero characteristic. Isotopically isomorphic realizations of a group define isopermutation group which gives a clear cut distinction between automorphic groups and isotopic groups.},
doi = {10.1063/1.4912707},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1648,
place = {United States},
year = {2015},
month = {3}
}