On the derived length of units in group algebra

Dishari Chaudhuri; Anupam Saikia

Czechoslovak Mathematical Journal (2017)

  • Volume: 67, Issue: 3, page 855-865
  • ISSN: 0011-4642

Abstract

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Let G be a finite group G , K a field of characteristic p ≥ 17 and let U be the group of units in K G . We show that if the derived length of U does not exceed 4 , then G must be abelian.

How to cite

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Chaudhuri, Dishari, and Saikia, Anupam. "On the derived length of units in group algebra." Czechoslovak Mathematical Journal 67.3 (2017): 855-865. <http://eudml.org/doc/294110>.

@article{Chaudhuri2017,
abstract = {Let $G$ be a finite group $G$, $K$ a field of characteristic $p\ge 17$ and let $U$ be the group of units in $KG$. We show that if the derived length of $U$ does not exceed $4$, then $G$ must be abelian.},
author = {Chaudhuri, Dishari, Saikia, Anupam},
journal = {Czechoslovak Mathematical Journal},
keywords = {group algebra; group of units; derived subgroup},
language = {eng},
number = {3},
pages = {855-865},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the derived length of units in group algebra},
url = {http://eudml.org/doc/294110},
volume = {67},
year = {2017},
}

TY - JOUR
AU - Chaudhuri, Dishari
AU - Saikia, Anupam
TI - On the derived length of units in group algebra
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 3
SP - 855
EP - 865
AB - Let $G$ be a finite group $G$, $K$ a field of characteristic $p\ge 17$ and let $U$ be the group of units in $KG$. We show that if the derived length of $U$ does not exceed $4$, then $G$ must be abelian.
LA - eng
KW - group algebra; group of units; derived subgroup
UR - http://eudml.org/doc/294110
ER -

References

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