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1.
Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups
Let G be an extension of a finite characteristically simple group by an abelian group or a finite simple group.It is shown that every Coleman automorphism of G is an inner automorphism.Interest in such automorphisms arises from the study of the normalizer problem for integral group rings. 相似文献
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Coleman自同构群的投射极限 总被引:2,自引:0,他引:2
在这篇注记中,利用群的投射极限性质给出了有限可解群的Coleman自同构群的一个具体构造.作为应用,证明了二面体群的Coleman外自同构群或者是1或者是一个初等阿贝尔2-群. 相似文献
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设$G$是一个本原群,证明了存在某个素数$p$使得$G$的每个$p$-中心自同构是内自同构. 作为应用,证明了$G$的全形的每个Coleman自同构均为内自同构. 特别地,正规化子性质对对所讨论的这些群都成立. 另外也得到了其他一些相关结果. 相似文献
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Let G be a finite group and let N be a nilpotent normal subgroup of G such that G/N is cyclic. It is shown that under some conditions all Coleman automorphisms of G are inner. Interest in such automorphisms arose from the study of the normalizer problem for integral group rings. 相似文献
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The structure of a normal subgroupK of a finite groupG is studied under the condition that nontrivial intersections ofK with maximal subgroups ofG belong to an arbitrary formation with normalizer condition.
Translated fromMatematicheskie Zametki, Vol. 66, No. 6, pp. 867–870, December, 1999. 相似文献
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Zhengxing Li 《代数通讯》2018,46(10):4473-4479
7.
Marcelo Epstein 《International Journal of Non》2009,44(6):604-609
After drawing a distinction between anelastic evolution and aging, it is shown that for certain solid classes a canonical decomposition of any symmetry-preserving evolutive process into an anelastic-like component and an aging component can be achieved. The theory thus obtained can be regarded as the time-like counterpart of the theory of inhomogeneities in functionally graded bodies. 相似文献
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The normalizer of each Sylow subgroup of a finite group G has a nilpotent Hall supplement in G if and only if G is soluble and every tri-primary Hall subgroup H (if exists) of G satisfies either of the following two statements: (i) H has a nilpotent bi-primary Hall subgroup; (ii) Let π(H) = {p, q, r}. Then there exist Sylow p-, q-, r-subgroups H p , H q , and H r of H such that H q ? N H (H p ), H r ? N H (H q ), and H p ? N H (H r ). 相似文献
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