NYJM Abstract - 25-17 - Bartlomiejczyk, Kamedulski, and Nowak-Przygodzki

New York Journal of Mathematics
Volume 25 (2019), 362-373

Volume 25

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Piotr Bartłomiejczyk, Bartosz Kamedulski, and Piotr Nowak-Przygodzki

Degree product formula in the case of a finite group action

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Published:	April 26, 2019.
Keywords:	Equivariant degree, Burnside ring, product property.
Subject:	Primary: 55P91; Secondary: 54C35.

Abstract

Let V and W be finite dimensional orthogonal representations of a finite group G. The equivariant degree with values in the Burnside ring of G has been studied extensively by many authors. We present a short proof of the degree product formula for local equivariant maps on V and W.

Acknowledgements

The authors wish to express their thanks to the referee for helpful comments concerning the paper.

Author information

Piotr Bartłomiejczyk:
Faculty of Applied Physics and Mathematics
Gdańsk University of Technology
Gabriela Narutowicza 11/12, 80-233 Gdańsk, Poland
piobartl@pg.edu.pl

Bartosz Kamedulski:
Institute of Mathematics
Faculty of Mathematics, Physics and Informatics
University of Gdańsk
Wita Stwosza 57, 80-308 Gdańsk, Poland, and
Gdynia Maritime University
Department of Mathematics
Morska 81-87, 81-225 Gdynia, Poland
bartosz.kamedulski@gmail.com

Piotr Nowak-Przygodzki:
Faculty of Applied Physics and Mathematics
Gdańsk University of Technology
Gabriela Narutowicza 11/12, 80-233 Gdańsk, Poland
piotrnp@wp.pl