On the cycle indices of frobenious groups
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Date
2010
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Abstract
There are several very useful formulas, which give the cycle
indices of
the binary operation of the sum, product, composition and po
wer group of
M
and
H
in terms of cycle indices of
M
and
H
. One very useful binary operation on groups,
which has not been exploited, is the semidirect product.
Suppose
G
=
M
⋊
H
, a semi direct product; the question is: how can we express
the cycle index of G in terms of the cycle indices of
M
and
H
? This work partially
answers this question by considering the cycle indices of so
me particularly semidirect
product groups; namely – Frobenious groups
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Citation
International Electronic Journal of Pure and Applied Mathematics Volume 1 No. 3 2010, 339-344