Lee’s Reviews > Linear Representations of Finite Groups > Status Update
Lee
is on page 65 of 182
Serre's treatment of solvable, supersolvable, and nilpotent groups is perhaps the worst I have ever seen. For example, Theorem 14 states "Every p-group is nilpotent" and his proof is the following: "In view of the preceding it suffices to show that the center of every nontrivial p-group G is nontrivial. This is a consequence of the following lemma: ..."
"The preceding" is not as sufficient as he claims.
— Mar 16, 2015 01:45PM
"The preceding" is not as sufficient as he claims.
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Lee’s Previous Updates
Lee
is on page 58 of 182
In the section paragraph of section 7.3, Serre writes:
"First choose a set of representatives S for the (H, K) double cosets of G; this means that G is the disjoint union of the KsH for s \in S (we could also write s \in K\G/H)."
The first part of this sentence should read:
"First choose a set of representatives S for the (K, H) double cosets of G;"
— Mar 09, 2015 03:12PM
"First choose a set of representatives S for the (H, K) double cosets of G; this means that G is the disjoint union of the KsH for s \in S (we could also write s \in K\G/H)."
The first part of this sentence should read:
"First choose a set of representatives S for the (K, H) double cosets of G;"
Lee
is on page 58 of 182
In the section paragraph of section 7.3, Serre writes:
"First choose a set of representatives S for the (H, K) double cosets of G; this means that G is the disjoint union of the KsH for s \in S (we could also write s \in K\G/H)."
The first part of this sentence should read:
"First choose a set of representatives S for the (K, H) double cosets of G;"
— Mar 09, 2015 03:11PM
"First choose a set of representatives S for the (H, K) double cosets of G; this means that G is the disjoint union of the KsH for s \in S (we could also write s \in K\G/H)."
The first part of this sentence should read:
"First choose a set of representatives S for the (K, H) double cosets of G;"
Lee
is on page 58 of 182
In the section paragraph of section 7.3, Serre writes:
"First choose a set of representatives S for the (H, K) double cosets of G; this means that G is the disjoint union of the KsH for s \in S (we could also write s \in K\G/H)."
The first part of this sentence should read:
"First choose a set of representatives S for the (K, S) double cosets of G;"
— Mar 09, 2015 03:11PM
"First choose a set of representatives S for the (H, K) double cosets of G; this means that G is the disjoint union of the KsH for s \in S (we could also write s \in K\G/H)."
The first part of this sentence should read:
"First choose a set of representatives S for the (K, S) double cosets of G;"
Lee
is on page 47 of 182
The exercises for section 5.9 are mis-numbered. An exercise 5.4 occurs in section 5.7, but the exercises in section 5.9 are numbered 5.4 and 5.5. They should be numbered 5.5 and 5.6, respectively.
— Mar 06, 2015 01:18PM
Lee
is on page 32 of 182
There is a significant typo in the last set of equations on page 29: "f" should be present in each equality.
— Mar 06, 2015 12:18PM
