Jump to ContentJump to Main Navigation

Groups Complexity Cryptology

Managing Editor: Rosenberger, Gerhard / Shpilrain, Vladimir

Editorial Board Member: Blackburn, Simon R. / Conder, Marston / Dehornoy, Patrick / Eick, Bettina / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Roman'kov, Vitalii / Sapir, Mark / Schäge, Sven / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura / Weil, Pascal

2 Issues per year

SCImago Journal Rank (SJR) 2014: 0.917
Source Normalized Impact per Paper (SNIP) 2014: 1.559
Impact per Publication (IPP) 2014: 0.878

Mathematical Citation Quotient (MCQ) 2014: 0.37

Search and witness problems in group theory

1Department of Mathematics, The City College of New York, New York, NY 10031, USA. E-mail:

Citation Information: Groups – Complexity – Cryptology. Volume 2, Issue 2, Pages 231–246, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: 10.1515/gcc.2010.015, November 2010

Publication History

Published Online:


Decision problems are problems of the following nature: given a property and an object , find out whether or not the object has the property . On the other hand, witness problems are: given a property and an object with the property , find a proof of the fact that indeed has the property .

On the third hand(?!), search problems are of the following nature: given a property and an object with the property , find something “material” establishing the property ; for example, given two conjugate elements of a group, find a conjugator. In this survey our focus is on various search problems in group theory, including the word search problem, the subgroup membership search problem, the conjugacy search problem, and others.

Keywords.: Algorithmic problems; search problems; stratification

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Pavel Morar and Alexander Ushakov
International Journal of Algebra and Computation, 2015, Volume 25, Number 03, Page 445

Comments (0)

Please log in or register to comment.