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Vol. 9 No. 1.3 (2020)
Scholar : National School of Leadership

Research Articles

A STUDY ON PERMUTATION GROUP

Published 2020-04-25

  • MAHALAKSHMI M

MAHALAKSHMI M
Dhanalakshmi Srinivasan College of Arts & Science for Women (Autonomous), Perambalur, Tamil Nadu, India

Abstract

In this paper we introduced what is meant by a permutation on a given set and showed how they form a group. We discussed the cycle notation of permutation and how it is useful in determining various properties of permutation groups. In fact it is shown that a permutation can be decomposed into disjoint cycles uniquely and that order of the permutation is the l.c.m of the lengths of the cycle in a decomposition of disjoint cycles.

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