TY - JOUR
T1 - Recognizing PSL(2, p) in the non-Frattini chief factors of finite groups
AU - Dung, Duong Hoang
N1 - Funding Information:
This research is supported by the DFG Sonderforschungsbereich 701 at Bielefeld University. We acknowledge the referee for valuable comments. We also thank Gareth Jones and Massimiliano Patassini for useful discussions.
Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2016/3/1
Y1 - 2016/3/1
N2 - Given a finite group G, let PG(s) be the probability that s randomly chosen elements generate G, and let H be a finite group with (Formula presented.). We show that if the nonabelian composition factors of G and H are PSL(2, p) for some non-Mersenne prime (Formula presented.) , then G and H have the same non-Frattini chief factors.
AB - Given a finite group G, let PG(s) be the probability that s randomly chosen elements generate G, and let H be a finite group with (Formula presented.). We show that if the nonabelian composition factors of G and H are PSL(2, p) for some non-Mersenne prime (Formula presented.) , then G and H have the same non-Frattini chief factors.
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U2 - 10.1007/s00013-016-0869-3
DO - 10.1007/s00013-016-0869-3
M3 - Article
AN - SCOPUS:84959162959
SN - 0003-889X
VL - 106
SP - 201
EP - 208
JO - Archiv der Mathematik
JF - Archiv der Mathematik
IS - 3
ER -