On Nonfinitely Based Varieties of Groups of Large Prime Exponent

Abstract

For every sufficiently large odd p, we present a continual set of nonfinitely based varieties of groups of exponent p. The properties of these varieties make it possible to answer some open questions on varieties of groups.

Key Words:

• Burnside variety
• Variety of groups

2000 Mathematics Subject Classification:

• 20F06
• 20F50

ACKNOWLEDGMENTS

The author thanks the referee for a number of useful recommendations.

P. A. Kozhevnikov was partially supported by a grant “AVCP Development of scientific potential of higher school,” project 2.1.1/12136.

Notes

Communicated by A. Olshanskii.