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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 6, Pages 913 - 922 (December 2018)
http://dx.doi.org/10.17654/NT040060913

THE NATURE AND APPLICATION OF 168-ORDER GROUP

Xiaori Han and Shixin Wang

Abstract:

It is confirmed that 168-order groups with insolvability exist. Moreover, it is proved that any 168-order simple group is isomorphic to PSL(2, 7), and then a very important application about this group is presented.

Keywords and phrases:

simple group, permutation group, Fano Plan.

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