# 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:

- 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}

}

DOI: 10.1063/1.4912707

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