|
|
| |
| ON THE FINITE GROUP WITH A.T.I SYLOW P-SUBGROUP |
| |
Citation： |
Zhang Jiping.ON THE FINITE GROUP WITH A.T.I SYLOW P-SUBGROUP[J].Chinese Annals of Mathematics B,1991,12(2):147~151 |
| Page view： 846
Net amount： 943 |
Authors： |
Zhang Jiping; |
|
|
| Abstract： |
This paper studies the relations between T.I. conditions and cyclic conditions on the Sylow p-subgroups of a finite group G. As examples, the following two results are proved.,
1.Let G be a finite group with a T. I. Sylow p-subgroup P. If p=3 or 5, we suppose G contains no composition factors isomorphic to the simple group L_{2}(2^{3}) or S(2^{5}) respectively, If G has a normal subgroup W such that p|(|W|,|G/W|), then G is p-solvable.
2.Let G be a finite group with a T.I. Sylow p-subgroup P. Suppose p>ll and P is not normal in G. Then P is cyclic if and only if G has no composition factors L_{2}(p^{n})(n>1) and U_{s}(p^{m})(m\geq 1). |
Keywords： |
|
Classification： |
|
|
|
Download PDF Full-Text
|
|
|
|
