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On k-Conjugacy in a Group

Published online by Cambridge University Press:  20 January 2009

Peter Yff
Peter Yff
Affiliation:
American University of Beirut, Beirut, Lebanon
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All elements mentioned herein are in a group G. A well-known definition states that x and y are conjugate if there exists an element a such that y = α–1xα. Conjugacy is an equivalence relation in G. In the present paper this will be called 1-conjugacy.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 14 , Issue 1 , June 1964 , pp. 1 - 4
Copyright
Copyright © Edinburgh Mathematical Society 1964

References

REFERENCE

(1) Carmichael, R. D., Introduction to the theory of groups of finite order (Boston, 1937).Google Scholar
(2) Yff., P.A representation of the commutator subgroup, Mathematics Magazine (1956), 161.Google Scholar