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Which group elements are called transition metals?

Answer
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Hint: Transition elements are defined as those elements of the periodic table which have incomplete or partially filled $\left( {d - } \right)$ orbital. The basic condition for an element to transition is to have incomplete in their ground state or any of their possible oxidation states.

Complete answer:
Entire periodic table is categorized into four basic blocks which are known as $\left( {s - } \right)$ block, $\left( {p - } \right)$ block, $\left( {d - } \right)$ block, and $\left( {f - } \right)$ block.
In the periodic table $\left( {d - } \right)$ block elements lie between $\left( {s - } \right)$ block and $\left( {p - } \right)$block. $\left( {d - } \right)$ block elements are present in between the elements of group $\left( 2 \right)$ and group $\left( {13} \right)$. Therefore, the elements are commonly known as transition metals. The name transition given to these elements is completely due to their position in the periodic table. These elements show a basic transition in the number of properties as we move from most electropositive elements of $\left( {s - } \right)$ block to least electropositive elements of $\left( {p - } \right)$ block.
There are a total $30$ transition elements present.
TRANSITION METAL SYMBOL ATOMIC NUMBER
ScandiumSc21
Titanium Ti22
VanadiumV23
ChromiumCr24
ManganeseMn25
IronFe26
cobaltCo27
NickleNi28
CopperCu29
ZincZn30
YttriumY39
ZirconiumZr40
NiobiumNb41
MolybdenumMo42
TechnetiumTc43
RutheniumRu44
RhodiumRh45
PalladiumPd46
SilverAg47
CadmiumCd48
La-Lu-57-71
HafniumHf72
TantalumTa73
tungstenW74
RheniumRe75
OsmiumOs76
IridiumIr77
PlatinumPt78
GoldAu79
MercuryHg80
Ac-Lr-89-103
RutherfordiumRf104
DubniumDb105
SeaborgiumSg106
BohriumBh107
HassiumHs108
MeitneriumMt109
DarmstadtiumDs110
RoentgeniumRg111
coperniciumCn112

General electronic configuration of transition element is $\left[ {\left( {n - 1} \right){d^{1 - 10}}n{s^{1 - 2}}} \right]$
The study of transition elements is necessary because they contain valuable elements like silver, gold, titanium and many more.
$ \Rightarrow $ From the above table we see that all the transition metals lie between the group $\left( 3 \right)$ and group $\left( {13} \right)$.

Note:
La-Lu shows the lanthanide series while Ac-Lr shows actinide series.
 In $\left( {f - } \right)$ block elements, the last electron of an atom lies in $\left( {f - } \right)$ orbital. The last electron of $\left( {f - } \right)$ block elements fill into the third last orbital shell which is also known as antepenultimate orbital. Therefore, $\left( {f - } \right)$ block elements are commonly known as inner-transition elements.