共查询到17条相似文献,搜索用时 83 毫秒
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本文利用一种新方法,考虑交换群Cp2×Cp 的自同构群,得到了该自同构群的结构.我们的结论是:Aut(Cp2×Cp)[Cp- 1∝(Cp×Cp)]holCp. 相似文献
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一个有限p-群G称为一个LA-群,如果当G是非循环的且|G|>p~2时有|G|/|Aut(G)|,本文证明了一个含有p~(n-2)阶元的p~n阶p-群是一LA-群。 相似文献
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该文给出了三个以p群为自同构群的p6阶群,并得到了它们的自同构群的阶.在这里p表示奇素数. 相似文献
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Ramiro H. Lafuente-Rodríguez 《Czechoslovak Mathematical Journal》2007,57(3):865-875
We study solvability of equations of the form x
n = g in the groups of order automorphisms of archimedean-complete totally ordered groups of rank 2. We determine exactly which
automorphisms of the unique abelian such group have square roots, and we describe all automorphisms of the general ones. 相似文献
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We report the number of semigroups with 9 elements up to isomorphism or anti-isomorphism to be 52?989?400?714?478 and up to isomorphism to be 105?978?177?936?292. We obtained these results by combining computer search with recently published formulae for the number of nilpotent semigroups of degree 3. We further provide a complete account of the automorphism groups of the semigroups with at most 9 elements. We use this information to deduce that there are 148?195?347?518?186 distinct associative binary operations on an 8-element set and 38?447?365?355?811?944?462 on a 9-element set. 相似文献
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We prove that certain 1-relator groups have Property E. Using this fact, we characterize all conjugacy separable 1-relator groups of the form a,b;(a-αbβaαbγ)t , t 1, having residually finite outer automorphism groups. 相似文献
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Using isomorphism invariants, we enumerate the translation planes of order 49 and determine their automorphism groups.
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Yann Ollivier Daniel T. Wise 《Transactions of the American Mathematical Society》2007,359(5):1959-1976
For each countable group we produce a short exact sequence where has a graphical presentation and is f.g. and satisfies property .
As a consequence we produce a group with property such that is infinite.
Using the tools developed we are also able to produce examples of non-Hopfian and non-coHopfian groups with property .
One of our main tools is the use of random groups to achieve certain properties.