Thesis
Sylow subgroups of index 2 in their normalizers
- Abstract:
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The following theorem is proved:
Theorem Let G be a finite group, P a Sylow p-subgroup of G, p odd. Suppose
- |N(P)/P⋅C(P)| = 2;
- cl(P) ≤ 2 .
Then
- if G is perfect, then P is necessarily cyclic;
- if P is not cyclic, then either 0p(G) < G, or 02(G) < G with G = 0p,(G)⋅N(P).
A unified proof is given as far as possible, but the proof e...
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- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Source identifiers:
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601870535
Item Description
- UUID:
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uuid:391b761e-9802-4fef-819b-512c3daa496e
- Local pid:
- polonsky:9:1
- Deposit date:
- 2017-10-05
Terms of use
- Copyright holder:
- Smith, S; Smith, Stephen D
- Copyright date:
- 1973
- Notes:
- This thesis was digitised thanks to the generosity of Dr Leonard Polonsky
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