Group theory, statistics, and cryptography : AMS Special Session Combinatorial and Statistical Group Theory, April 12-13, 2003, New York University / [electronic resource]
Alexei G. Myasnikov, Vladimir Shpilrain, editors.
- Providence, R.I. : American Mathematical Society, c2004.
- 1 online resource (v, 177 p. : ill.)
- Contemporary mathematics, v. 360 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 360. .
Includes bibliographical references.
On power- and commutation transitive, power commutative, and restricted Gromov groups / Braid-based cryptography / Discriminating and squarelike groups. I. Axiomatics / The density of small words in a free group is 0 / Braid groups and $(_2)$ are not rigid / On varieties of groups in which all periodic groups are abelian / Subgroups of fully residually free groups: algorithmic problems / Weak hyperbolicity and free constructions / Some properties of the conjugacy class growth function / Boundary test elements / Geodesics in the braid group on three strands / Remarks on the growth of inverse semigroups / Assessing security of some group based cryptosystems / Peter Ackermann, Volkmar Gro�e Rebel and Gerhard Rosenberger -- Patrick Dehornoy -- Benjamin Fine, Anthony M. Gaglione and Dennis Spellman -- Richard Z. Goldstein -- Stephen P. Humphries -- S. V. Ivanov and A. M. Storozhev -- Olga G. Kharlampovich, Alexei G. Myasnikov, Vladimir N. Remeslennikov and Denis E. Serbin -- D. V. Osin -- Igor Rivin -- Edward C. Turner and Charles F. Rocca -- Lucas Sabalka -- L. M. Shneerson -- Vladimir Shpilrain -- http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06565 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06566 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06567 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06568 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06569 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06570 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06571 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06572 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06573 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06574 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06575 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06576 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06577
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821879504 (online)
Group theory--Congresses.
Mathematical statistics--Congresses.
Cryptography--Congresses.
QA174 / .A66 2003
512/.2
Includes bibliographical references.
On power- and commutation transitive, power commutative, and restricted Gromov groups / Braid-based cryptography / Discriminating and squarelike groups. I. Axiomatics / The density of small words in a free group is 0 / Braid groups and $(_2)$ are not rigid / On varieties of groups in which all periodic groups are abelian / Subgroups of fully residually free groups: algorithmic problems / Weak hyperbolicity and free constructions / Some properties of the conjugacy class growth function / Boundary test elements / Geodesics in the braid group on three strands / Remarks on the growth of inverse semigroups / Assessing security of some group based cryptosystems / Peter Ackermann, Volkmar Gro�e Rebel and Gerhard Rosenberger -- Patrick Dehornoy -- Benjamin Fine, Anthony M. Gaglione and Dennis Spellman -- Richard Z. Goldstein -- Stephen P. Humphries -- S. V. Ivanov and A. M. Storozhev -- Olga G. Kharlampovich, Alexei G. Myasnikov, Vladimir N. Remeslennikov and Denis E. Serbin -- D. V. Osin -- Igor Rivin -- Edward C. Turner and Charles F. Rocca -- Lucas Sabalka -- L. M. Shneerson -- Vladimir Shpilrain -- http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06565 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06566 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06567 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06568 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06569 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06570 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06571 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06572 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06573 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06574 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06575 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06576 http://www.ams.org/conm/360/ http://dx.doi.org/10.1090/conm/360/06577
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821879504 (online)
Group theory--Congresses.
Mathematical statistics--Congresses.
Cryptography--Congresses.
QA174 / .A66 2003
512/.2