@article{oai:muroran-it.repo.nii.ac.jp:00009932,
 author = {MURAI, Masafumi and 村井, 正文 and TAKEGAHARA,  Yugen and 竹ケ原, 裕元},
 issue = {1},
 journal = {Journal of Algebra},
 month = {Jan},
 note = {application/pdf, Let H be a finite group, and let θ be an automorphism of H whose order divides n. Hall proved that the number of elements x of H that satisfy the relation x*xθ*xθ2 ***xθn-1 = 1 is a multiple of gcd(n,|H|). For a prime factor p of gcd(n,|H|), if such a number is not a multiple of gcd(pn,|H|), then a Sylow p-subgroup of H is exceptional.},
 pages = {312--326},
 title = {Hall's Relations in Finite Groups},
 volume = {271},
 year = {2004},
 yomi = {ムライ, マサフミ and タケガハラ, ユウゲン}
}