Some Baer Invariants of Free Nilpotent Groups
Behrooz Mashayekhy, Mohsen Parvizi

TL;DR
This paper provides explicit structures and formulas for Baer invariants and polynilpotent multipliers of free nilpotent groups, advancing understanding of their algebraic properties within specific varieties and class conditions.
Contribution
It introduces explicit formulas for Baer invariants and polynilpotent multipliers of free nilpotent groups under new conditions, extending previous algebraic characterizations.
Findings
Explicit structure for Baer invariants of free nilpotent groups.
Formulas for polynilpotent multipliers for various class rows.
Results applicable to groups with specific nilpotency and variety conditions.
Abstract
We present an explicit structure for the Baer invariant of a free th nilpotent group (the th nilpotent product of infinite cyclic groups, ) with respect to the variety with the set of words , for all and . Also, an explicit formula for the polynilpotent multiplier of a free th nilpotent group is given for any class row , where .
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · graph theory and CDMA systems
