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Finite groups with four class sizes of elements of order divisible by at most three distinct primes
-
Qingjun Kong
Published/Copyright:
September 1, 2012
Abstract.
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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Articles in the same Issue
- Masthead
- Density of commensurators for uniform lattices of right-angled buildings
- The weights of closed subgroups of a locally compact group
- Some exceptional Beauville structures
- Finite p-groups whose non-normal cyclic subgroups have small index in their normalizers
- Finite groups with four class sizes of elements of order divisible by at most three distinct primes
- The P-radical classes in simple algebraic groups and finite groups of Lie type
- Finite groups with NR-subgroups or their generalizations
