Binzhou Xia
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Member for 12 years, 3 months
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Last seen more than 6 years ago
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Homocyclic primary module over PID
Following is the way I can think of to work for the case when some $s_i=0$. Get $m_i$'s in your argument for nonzero $s_i$'s, and prove that they are $R$-linearly independent by showing a correspinding minor of $A$ is invertible mod $p^s$. Then extend these $m_i$'s to an $R$-basis of $M$ as $M$ is homocyclic. Is there any simpler way?
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Exponent of Sylow $p$-subgroup of classical groups over a field of characteristic $p$
Of course least power of $p$ greater than or equal to $n$...
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Exponent of Sylow $p$-subgroup of classical groups over a field of characteristic $p$
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Exponent of Sylow $p$-subgroup of classical groups over a field of characteristic $p$
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Exponent of Sylow $p$-subgroup of classical groups over a field of characteristic $p$
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Exponent of Sylow $p$-subgroup of classical groups over a field of characteristic $p$
What is the exact formulation of the upper bound?
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Maximal soluble subgroups in a parabolic subgroup of finite classical simple group
@Jim: Many thanks to you and Geoff! I'm new to algebraic groups, so maybe I should read some text book or papers for fundation about this subject. By the way, if I mean a parabolic subgroup by the full stabilizer of an isotropic subspace, should I use the term maximal parabolic subgroup?
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Elements whose conjugates are of the same absolute value in cyclotomic fields
Oh,I think my second question is to find the so called $\sqrt{kp+1}$-Weil numbers in cyclotomic fieds. In general, $m$-Weil numbers are not easy to classify.
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elements of absolute value one in cyclotomic fields
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