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Register a new userNormalijor of Isolating Soluable Subgroups of Odd Order in the Qroup GL(q, p), Where p, q are prime sumfers
منظم الزمر الجزئية العازلة و القابلة للحل، و ذات الرتبة الفردية في الزمرة (GL(q,p حيث q و p عددان أوليان
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Damascus University ورقة بحثية
Publication date
1999
fields
Mathematics
and research's language is
العربية
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سوف نستعرض في هذه الدراسة مسألة الزمر الجزئية العازلة القابلة للحل في (GL(q,p ) حيث q,p عددان أوليان، ،( 1- q|(p, و التي تملك رتبة ما r, حيث من حيث (1- r/| (P, من حيث دراسة زمرها الجزئية النظامية و تحديد رتبة المنظم لكلٍّ منها في الحالة التي يكون فيها r عددًا فرديًا، و كذلك دراسة مسألة ترافقها في الزمرة (GL(q,p.
This study represents the problem of the invariant sub-groups of the maximal solvable invariant sub-groups in a group GL(q,p), with p and q are primes, q|(p-١), and its order is r with r/| (P − 1) , as the studying of its normalizer groups and identification the order of the normalizer for each one in the case r is an odd order, and also with studying the problem of its conjunction in a group GL(q,p).
References used
D. A. Soprnenko, Matrices groups, “Naouka”, MOSCOW1972
B. Huppert. Endliche Gruppen I (book). Berlin – Hedellurg, New York1964
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