TY - JOUR
T1 - Power sets and soluble subgroups
AU - Liebeck, Martin W.
AU - Shalev, Aner
N1 - Publisher Copyright:
© 2014 American Mathematical Society.
PY - 2014
Y1 - 2014
N2 - We prove that for certain positive integers k, such as 12, a normal subgroup of a finite group which consists of kth powers is necessarily soluble. This gives rise to new solubility criteria, and solves an open problem from a 2013 paper by the authors.
AB - We prove that for certain positive integers k, such as 12, a normal subgroup of a finite group which consists of kth powers is necessarily soluble. This gives rise to new solubility criteria, and solves an open problem from a 2013 paper by the authors.
UR - http://www.scopus.com/inward/record.url?scp=84923065908&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-2014-12203-9
DO - 10.1090/S0002-9939-2014-12203-9
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AN - SCOPUS:84923065908
SN - 0002-9939
VL - 142
SP - 3757
EP - 3760
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 11
ER -