New Mathematics Data Have Been Reported By Researchers At Yerevan St

NEW MATHEMATICS DATA HAVE BEEN REPORTED BY RESEARCHERS AT YEREVAN STATE UNIVERSITY

News of Science
January 24, 2010

"We prove that for any odd number n>= 1003, every non-cyclic subgroup
of the 2-generator free Burnside group of exponent. n contains a
subgroup isomorphic to the free Burnside group of exponent n. and
infinite rank," scientists writing in the journal Izvestiya Mathematics
report.

"Various families of relatively free n-periodic subgroups are
constructed in free periodic groups of odd exponent n>= 665," wrote
V.S. Atabekian and colleagues, Yerevan State University.

The researchers concluded: "For the same groups, we describe a
monomorphism tau such that a word A is an elementary period of rank
alpha if and only if its image tau(A) is ail elementary period of
rank alpha + 1."

Atabekian and colleagues published their study in Izvestiya
Mathematics (On subgroups of free Burnside groups of odd exponent n >=
1003. Izvestiya Mathematics, 2009;73(5):861-892).

Additional information can be obtained by contacting V.S. Atabekian,
Yerevan State University, Yerevan, Armenia.

The publisher of the journal Izvestiya Mathematics can be contacted at:
London Mathematical Society Russian Acad Sciences, C, O Turpion Ltd,
Turpin Distribution Services, Blackhorse Rd., Letchworth SG6 1HN,
Herts, England.