排序方式: 共有5条查询结果,搜索用时 296 毫秒
1
1.
Katsusuke Sekiguchi 《代数通讯》2013,41(11):3611-3623
For a prime p, we denote by Bn the cyclic group of order pn. Let φ be a faithful irreducible character of Bn, where p is an odd prime. We study the p-group G containing Bn such that the induced character φG is also irreducible. The purpose of this article is to determine the subgroup NG(NG(Bn)) of G under the hypothesis [NG(Bn):Bn]4 ≦ pn. 相似文献
2.
Let X=Cay(G,S) be a 2-valent connected Cayley digraph of a regular p-group G and let G
R
be the right regular representation of G. It is proved that if G
R
is not normal in Aut(X) then X≅[2K
1
] with n>1, Aut(X) ≅Z
2
wrZ
2n
, and either G=Z
2n+1
=<a> and S={a,a
2n+1
}, or G=Z
2n
×Z
2
=<a>×<b> and S={a,ab}.
Received: May 26, 1999 Final version received: June 19, 2000 相似文献
3.
Abstract In this paper, we classified the finite p-groups with exactly one A1-subgroup of given structure of order p^3. 相似文献
4.
If the character table of a finite group H satisfies certain conditions, then the classes and characters of H can fuse to give the character table of a group G of the same order. We investigate the case where H is an abelian group. In a previous article, we gave examples of Camina pairs that fuse from abelian groups. In this article, we give more general examples of Camina triples that fuse from abelian groups. We use this result to give an example of a group which fuses from an abelian group, but which has a subgroup that does not. We also give an example of a powerful 2-group which does not fuse from an abelian group and of a regular 3-group which does not fuse from an abelian group. 相似文献
5.
Coy L. May 《代数通讯》2013,41(10):4402-4413
Let G be a finite group. The symmetric genus σ(G) is the minimum genus of any Riemann surface on which G acts. We show that a non-cyclic p-group G has symmetric genus not congruent to 1(mod p 3) if and only if G is in one of 10 families of groups. The genus formula for each of these 10 families of groups is determined. A consequence of this classification is that almost all positive integers that are the genus of a p-group are congruent to 1(mod p 3). Finally, the integers that occur as the symmetric genus of a p-group with Frattini-class 2 have density zero in the positive integers. 相似文献
1