Algebra Quiz
The least number of elements a nonzero
M
_{2}
(
/2
)module
can have is
The number of maximal ideals in
[
X
,
Y
]
containing {
X
^{2}
+
Y
^{2}
,
X
^{2}

Y
^{2}
} is
The order of the centralizer of an element of order 7 in a simple group of order 168 is
Let
G
be a group of order 8. Then the smallest number of twosided ideals
G
can have is
The
K
denote the splitting field of
X
^{4}
 2 over
. Then the number of elements of order 2 in Gal(
K
/
(√2)) is
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