Lifting of generating subgroups

Author:
Ido Efrat

Journal:
Proc. Amer. Math. Soc. **125** (1997), 2217-2219

MSC (1991):
Primary 20D99

DOI:
https://doi.org/10.1090/S0002-9939-97-03917-8

MathSciNet review:
1401738

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Abstract: Let be an epimorphism of finite groups. Suppose that is generated by its subgroups and that is generated by its subgroups . Furthermore, suppose that and are conjugate, . We prove that there exist such that generate and , .

**1.**I. Efrat,*The elementary theory of free pseudo -adically closed fields of finite corank*, J. Sym. Logic**56**(1991), 484-496. MR**93a:03036****2.**M. Fried and M. Jarden,*Field Arithmetic*, Springer, Heidelberg, 1986. MR**89b:12010****3.**M. Jarden and U. Kiehne,*The elementary theory of algebraic fields of finite corank*, Inventiones Math.**30**(1975), 275-294. MR**55:8012****4.**W. Gaschütz,*Zu einem von B.H. und H. Neumann gestellten Problem*, Math. Nachr.**14**(1956), 249-252. MR**18:790b**

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Additional Information

**Ido Efrat**

Affiliation:
Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, P.O. Box 653, Be’er-Sheva 84105, Israel

Email:
efrat@math.bgu.ac.il

DOI:
https://doi.org/10.1090/S0002-9939-97-03917-8

Received by editor(s):
February 13, 1996

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1997
American Mathematical Society