Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
D E M O N S T R A T E MATHEMATICAVol. XXIXNo 11996E. Rapt is, D. VarsosON T H E S U B G R O U P S E P A R A B I L I T YOF T H E F U N D A M E N T A L G R O U POF A F I N I T E G R A P H OF G R O U P SIntroductionA group G is called subgroup separable ( S S ) if for every finitely generated (f.g.) subgroup H and every element g € G\H, there is a finite indexsubgroup L, which contains H but g L. Equivalently the group G is SSif there is a homomorphism of G onto a finite group such that the image ofg remains outside the image of H. Evidently a SS group is residually finiteCRT), that is for 1 ^ g 6 G there is a finite index subgroup L (L <j G)such that g & L.Just as the study of f.g. 7ZT groups leads to the solution of the wordproblem, the study of f.g. SS groups leads to the solution of the generalizedword problem.
Demonstratio Mathematica – de Gruyter
Published: Jan 1, 1996
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.