TY - JOUR
T1 - Modular group algebras with almost maximal Lie nilpotency indices
AU - Bovdi, Victor
AU - Juhász, Tibor
AU - Spinelli, Ernesto
N1 - Funding Information:
The research was supported by OTKA No. T 037202, No. T 038059 and Italian National Research Project “Group Theory and Application.”
PY - 2006
Y1 - 2006
N2 - Let K be a field of positive characteristic p and KG the group algebra of a group G . It is known that, if KG is Lie nilpotent, then its upper (and lower) Lie nilpotency index is at most |G'|+1 where |G'| is the order of the commutator subgroup. The authors previously determined those groups G for which this index is maximal and here they determine the groups G for which it is 'almost maximal', that is, it takes the next highest possible value, namely |G'|-p+2.
AB - Let K be a field of positive characteristic p and KG the group algebra of a group G . It is known that, if KG is Lie nilpotent, then its upper (and lower) Lie nilpotency index is at most |G'|+1 where |G'| is the order of the commutator subgroup. The authors previously determined those groups G for which this index is maximal and here they determine the groups G for which it is 'almost maximal', that is, it takes the next highest possible value, namely |G'|-p+2.
KW - Dimensional subgroups
KW - Group algebras
KW - Lie nilpotency indices
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U2 - 10.1007/s10468-006-9022-5
DO - 10.1007/s10468-006-9022-5
M3 - Article
AN - SCOPUS:33846994359
SN - 1386-923X
VL - 9
SP - 259
EP - 266
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
IS - 3
ER -