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Licensed Unlicensed Requires Authentication Published by De Gruyter September 1, 2012

Finite groups with four class sizes of elements of order divisible by at most three distinct primes

  • Qingjun Kong EMAIL logo
From the journal Journal of Group Theory


Let G be a finite group and let be the set of elements of primary, biprimary and triprimary order of G. We prove the following statement: if the conjugacy class sizes of are exactly with and , then G is nilpotent and for some prime q. Some known results are generalized.

Received: 2012-05-04
Published Online: 2012-09-01
Published in Print: 2012-09-01

© 2012 by Walter de Gruyter Berlin Boston

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