When is an Automorphism Inner?

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Authors

  • W. E. Deskins
     Department of Mathematics, University of Pittsburgh, Pittsburgh, Pa. 15260 ,US

Abstract

An Automorphism θ of a group G can be represented as a permutation of the set of conjugate classes of G, and clearly the inner automorphisms of G are represented trivially in this case.

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Published

1974-12-01

How to Cite

Deskins, W. E. (1974). When is an Automorphism Inner?. The Journal of the Indian Mathematical Society, 38(1-4), 37–41. Retrieved from http://www.informaticsjournals.com/index.php/jims/article/view/16679

Issue

Volume 38, Issue 1-4, March-December 1974

Section

Articles

License

Copyright (c) 1974 W. E. Deskins

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

BURNSIDE, W. : Theory of Groups of Finite Order, 2nd ed., Dover Publications, Inc , New York 1955.

BURNSIDE, W. : On the outer automorphisms of a group, Proc. London Math. Soc. (2), v. 11 (1913), 225-245.

KOCHUNDORFFER. R. : Group Theory, McGraw-Hill, London, 1970.

SAH, C.H.: Automorphisms of finite groups, Journal of Algebra, v. 10 (1968) 47-68.

SPEISER, A: Die Theorie der Gruppen von endlicher Ordnung. Birkhiiuser Verlag, Basel, 1956.

WALL, G. : Finite groups with class-preserving outer automorphisms, J. London Math. Soc.,v 22(1947) 315-320.