ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS-Reference-Cited by-同舟云学术

ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS

Published:2010-09 Issue:06 Volume:20 Page:807-821
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

BOSKO LINDSEY R.¹

Affiliation:

1. Mathematics Department, North Carolina State University, Raleigh, North Carolina 27695, USA

Abstract

The Lie algebra analogue to the Schur multiplier has been investigated in a number of recent articles. We consider the multipliers of Lie algebras of maximal class, classifying these algebras with a certain additional property. The classification leads to a conjecture about a bound on the dimension of the multiplier for each of these algebras and also for p-groups of maximal class. The conjectures are then shown to hold.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196710005881

Reference14 articles.

1. On covers of lie algebras

2. On characterizing nilpotent lie algebras by their multipliers

3. On the order of the commutator subgroup and the Schur multiplier of a finite p-group

4. On the schur multiplier ofp-groups

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