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Problems in group theory

Abstract:

Using combinatorial and character-theoretic methods the following theorems are proved.

Theorem I Let G be a finite simple group containing two non-conjugate subgroups A, B such that:

  1. if a ε A, a ¬equals; 1, then CG (a) = A; if b ε B, b ¬equals; 1, then

    CG(b) = B;

  2. | NG(A)/A | = 2, | NG(B)/B | = 2.

Then G is iso...

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Peer review status:
Peer reviewed

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Department:
University of Oxford
Role:
Author
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
UUID:
uuid:6841b5f6-8bc0-407c-bad1-051381b56403
Local pid:
polonsky:11:20
Source identifiers:
601870591
Deposit date:
2017-10-05

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