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Recognizing PSL(2, p) in the non-Frattini chief factors of finite groups

Journal Article


Abstract


  • 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 PG(s) = PH(s). We show that if the nonabelian composition factors of G and H are PSL(2, p) for some non-Mersenne prime p≥5, then G and H have the same non-Frattini chief factors.

Publication Date


  • 2016

Geographic Focus


Citation


  • Dung, D. Hoang. (2016). Recognizing PSL(2, p) in the non-Frattini chief factors of finite groups. Archiv der Mathematik, 106 (3), 201-208.

Scopus Eid


  • 2-s2.0-84959162959

Number Of Pages


  • 7

Start Page


  • 201

End Page


  • 208

Volume


  • 106

Issue


  • 3

Place Of Publication


  • Switzerland

Abstract


  • 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 PG(s) = PH(s). We show that if the nonabelian composition factors of G and H are PSL(2, p) for some non-Mersenne prime p≥5, then G and H have the same non-Frattini chief factors.

Publication Date


  • 2016

Geographic Focus


Citation


  • Dung, D. Hoang. (2016). Recognizing PSL(2, p) in the non-Frattini chief factors of finite groups. Archiv der Mathematik, 106 (3), 201-208.

Scopus Eid


  • 2-s2.0-84959162959

Number Of Pages


  • 7

Start Page


  • 201

End Page


  • 208

Volume


  • 106

Issue


  • 3

Place Of Publication


  • Switzerland