JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 2, Pages 413 - 416
(August 2004)
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corrigendum
To "nonabelian groups with perfect order
subsets" [jp jour. algebra, number theory
& appl. 3(1) (2003), 13-26; mr1999172]
Carrie E. Finch (U. S. A.) and Lenny Jones (U. S. A.)
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Abstract: Let G be a finite
group and let
Define the order subset of G determined
by x to be the set of all elements in G
that have the same order as x. A
group G is said to have perfect order
subsets and is called a POS group, if
the number of elements in each order subset of
G is a divisor of
Theorem 1.2 of the original paper [JP Jour.
Algebra, Number Theory & Appl. 3(1)
(2003), 13-26] is incorrect as stated there.
In this note we provide the corrected version
of Theorem 1.2, stated here as Theorem 1.1,
along with a complete proof. In addition, we
correct some minor typographical errors which
appeared in [JP Jour. Algebra, Number Theory
& Appl. 3(1) (2003), 13-26]. |
Keywords and phrases: nonabelian groups,
perfect order subsets. |
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