The local structure theorem for finite groups with a large

Let p be a prime, G a finite \mathcal{K}_p-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., C_G(Q) \leq Q and N_G(U) \leq N_G(Q) for 1 \ne U \leq C_G(Q)). Let L be any subgroup of G with S\leq L, O_p(L)\neq 1 and Q\ntrianglelefteq L. In this paper the authors determine the act...

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Detalles Bibliográficos
Autores principales: Meierfrankenfeld, U, Stellmacher, B, Stroth, G
Lenguaje:eng
Publicado: American Mathematical Society 2016
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2622907
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author Meierfrankenfeld, U
Stellmacher, B
Stroth, G
author_facet Meierfrankenfeld, U
Stellmacher, B
Stroth, G
author_sort Meierfrankenfeld, U
collection CERN
description Let p be a prime, G a finite \mathcal{K}_p-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., C_G(Q) \leq Q and N_G(U) \leq N_G(Q) for 1 \ne U \leq C_G(Q)). Let L be any subgroup of G with S\leq L, O_p(L)\neq 1 and Q\ntrianglelefteq L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup Y_L of L.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2016
publisher American Mathematical Society
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spelling cern-26229072021-04-21T18:48:11Zhttp://cds.cern.ch/record/2622907engMeierfrankenfeld, UStellmacher, BStroth, GThe local structure theorem for finite groups with a largeMathematical Physics and MathematicsLet p be a prime, G a finite \mathcal{K}_p-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., C_G(Q) \leq Q and N_G(U) \leq N_G(Q) for 1 \ne U \leq C_G(Q)). Let L be any subgroup of G with S\leq L, O_p(L)\neq 1 and Q\ntrianglelefteq L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup Y_L of L.American Mathematical Societyoai:cds.cern.ch:26229072016
spellingShingle Mathematical Physics and Mathematics
Meierfrankenfeld, U
Stellmacher, B
Stroth, G
The local structure theorem for finite groups with a large
title The local structure theorem for finite groups with a large
title_full The local structure theorem for finite groups with a large
title_fullStr The local structure theorem for finite groups with a large
title_full_unstemmed The local structure theorem for finite groups with a large
title_short The local structure theorem for finite groups with a large
title_sort local structure theorem for finite groups with a large
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2622907
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AT stellmacherb localstructuretheoremforfinitegroupswithalarge
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