6533b839fe1ef96bd12a597b
RESEARCH PRODUCT
On the focal subgroup of a saturated fusion system
Ning SuYanming WangAdolfo Ballester-bolinchesLuis M. Ezquerrosubject
Algebra and Number TheoryGroup (mathematics)media_common.quotation_subject010102 general mathematics01 natural sciencesCombinatoricsMathematics::Group TheoryFusion system0103 physical sciencesOrder (group theory)010307 mathematical physics0101 mathematicsNormalitymedia_commonMathematicsdescription
Abstract The influence of the cyclic subgroups of order p or 4 of the focal subgroup of a saturated fusion system F over a p -group S is investigated in this paper. Some criteria for normality of S in F as well as necessary and sufficient conditions for nilpotency of F are given. The resistance of a p -group in which every cyclic subgroup of order p or 4 is normal, and earlier results about p -nilpotence of finite groups and nilpotency of saturated fusion systems are consequences of our study.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-12-01 | Journal of Algebra |