FINITE_GROUPS

作品数：163被引量：161H指数：7
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More on the set of element orders in finite groups被引量：1
《Chinese Science Bulletin》1996年第15期1320-1320,共1页Naoki Chigira 施武杰 
Let G be a finite group. Let πe（G） be the set of element orders of G and for any subset m of positive integers, and h（m） be the number of isomorphic classes of finite group G satisfying πe...
关键词：二心 
Finite Groups With Given Normalizers of Sylow Subgroups被引量：1
《Chinese Science Bulletin》1994年第23期1952-1955,共4页郭文斌 
Project supported by Returned Personnel Foundation of the State Education Commission of China;Natural Science Fund of Jiangsu Province.
A series of work was devoted to investigation of finite groups with the given properties of Sylow subgroups in the recent years.In Ref. [1] it was proved that if the normalizer of any non-unit Sylow subgroup of a fini...
关键词：FINITE SOLUBLE GROUP formation. 
ON RELATIVE NORMAL COMPLEMENTS IN FINITE GROUPS
《Chinese Science Bulletin》1992年第23期1943-1946,共4页郭秀云 
Project supported by the Natural Science Fund of Shanxi Province
All groups considered in this note are finite. Let π be a set of some primes and π′ the complementary set of primes, π(G) denotes the set of primes dividing the order |G| of a group G.
关键词：RELATIVE NORMAL COMPLEMENT π-soivable group NORMAL π-complement 
A CLASS OF SPECIAL FINITE GROUPS
《Chinese Science Bulletin》1992年第3期252-253,共2页施武杰 杨成 
We shall study such a finite group G with π_e(G)={1,p,q ,…. ,r,m }, where π_e(G)denotes the set of orders of elements in G andp, q, …, r are primes. We call the above groupthe EPMO-group. Theorem 1. Let G be a sol...
关键词：SOLVABLE CLASS holds ORDERS nontrivial EXPONENT notes ANSWER 卜夕 丹一 
FINITE GROUPS WITH AUTOMORPHISM GROUPS OF ORDER p^2q
《Chinese Science Bulletin》1990年第5期437-438,共2页黄平安 
Let n be a positive integer. Let Cn denote the cyclic group of order n, D2n=<a, b|dn=b2=1, b-1ab=a-1>a dihedral group of order 2n, DC（4n）<...
关键词：INTEGER LETTER 
ON THE p-SOLVABILITY OF THE FINITE GROUPS WITH A T.I. SYLOW p-SUBGROUP被引量：2
《Chinese Science Bulletin》1989年第3期177-179,共3页张继平 
Project supported by Fok Ying Tung Education Foundation.
W. Feit has ever beautifully proved the following theorem by the abstract group theoretic method.Theorem 1. Let G be an arbitrary finite group with a cyclic Sylow p-subgroup. If there exists a normal subgroup N of G s...
关键词：group SOLVABILITY T.I. set representation. 
FINITE GROUPS WITH AT MOST TWO SAME ORDER CLASSES OF MAXIMAL SUBGROUPS
《Chinese Science Bulletin》1987年第19期1367-,共1页施武杰 
S. Adnan has proved the fallowing theorem: Let G be a finite group. If G has exactly 2 conjugacy classes of maximal subgroups, then G is solvable. We extend the conjugacy classes to isomorphic classes, and further gen...
关键词：SUBGROUPS ISOMORPHIC maximal SOLVABLE EXACTLY generalize CLASSES 
A NOTE ON FINITE GROUPS SATISFYING PERMUTIZER CONDITION被引量：1
《Chinese Science Bulletin》1986年第6期363-365,共3页张继平 
If G satisfies the permutizer condition, we call G a pc-group; clearly, all the super-solvable groups are pc-groups. It was shown in [1] that pc-groups of odd order were supersolvable. It is easy to verify that the sy...
关键词：SOLVABLE verify symmetric SUBGROUP clearly NILPOTENT false PROOF AUTOMORPHISM satisfy 
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