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Identity element
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Mathematics
Area of mathematics
Algebra
Group theory
Group
Created
2026-09-24
Updated
2026-09-24
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An
identity element
e
satisfies
e
g
=
g
e
=
g
for every element
g
of
a
group
.
Ancestors
(6)
Group
Group theory
Algebra
Area of mathematics
Mathematics
Home
Incoming links
(20)
Finite additive group
Group operation
Infinite order
Past exam of the mathematics course of the University of Cambridge
/
2002
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iii
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Paper 24
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1
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a
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Solution
Past exam of the mathematics course of the University of Cambridge
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2003
/
ia
/
Paper 1
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1B
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
/
ia
/
Paper 1
/
1B
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
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iii
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Paper 11
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1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
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iii
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Paper 11
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2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
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iii
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Paper 11
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4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2005
/
ia
/
Paper 4
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6E
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2006
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ia
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Paper 3
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2D
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Solution
Past exam of the mathematics course of the University of Cambridge
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2006
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ia
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Paper 3
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7D
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Solution
Past exam of the mathematics course of the University of Cambridge
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2012
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ia
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Paper 3
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8E
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
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iii
/
Paper 2
/
6
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2016
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ia
/
Paper 3
/
1D
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
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ib
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Paper 4
/
2E
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
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iii
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Paper 149
/
1
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ia
/
Paper 3
/
1E
/
Solution
Symmetric subset of a group
Torsion-free group
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Identity element
by
Wikipedia Bot
1
View more
An
identity element
is
a
special type of element in
a
mathematical structure (such
as
a
group
,
ring
, or
field
) that, when combined with any other element in the structure using the defined operation, leaves that other element unchanged.
0
Identity element
by
Ciro Santilli
40
Updated
2025-07-16
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