School of Mathematics and Statistics
http://hdl.handle.net/123456789/878
20211201T13:30:09ZA study of factors affecting the roles of teachers' advisory centres in Nyamira district.
http://hdl.handle.net/123456789/1183
A study of factors affecting the roles of teachers' advisory centres in Nyamira district.
Okioma, Malack Atati
20120101T00:00:00ZOn the cycle indices of frobenious groups
http://hdl.handle.net/123456789/1178
On the cycle indices of frobenious groups
Munywoki, Michael; Kamuti, Ireri; Kivunge, Benard
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
20100101T00:00:00ZLIMITATIONS IN THE CONVECTIONAL ISBN  10 CODE
http://hdl.handle.net/123456789/1177
LIMITATIONS IN THE CONVECTIONAL ISBN  10 CODE
Kamaku, Waweru; Mwathi, Cecilia; Kivunge, Bernard
The
I
nternational
S
tandard
B
ook
N
umber system (ISBN

10)
which was in operation until 2007 uniquely identified
every book published internationally
but was later replaced with the ISBN

13
. The code
was
had the ability to
detect and correct single errors, to detect and correct some transposition errors and also d
etect multiple errors.
This paper discusses some major limitations in the code and shows how error detection and correction
capabilities affected the total dictionary on the code.
The paper then shows the great need that lead to the
development of
the ISBN
20120101T00:00:00ZSubloops of sedenions
http://hdl.handle.net/123456789/1176
Subloops of sedenions
Kivunge, Benard M; Smith, Jonathan D. H
This note investigates sedenion multiplication from the st
andpoint of loop the
ory. New twosided loops are obtained within the version of t
he sedenions introduced by
the second author. Conditions are given for the satisfactio
n of standard looptheoretical
identities within these loops.
20040101T00:00:00Z