Some bismash products that are not group algebras

被引：5

作者：

Collins, Michael J. ^{[1
]}

机构：

[1] Univ Oxford Univ Coll, Oxford OX1 4BH, England

来源：

JOURNAL OF ALGEBRA | 2007年 / 316卷 / 01期

关键词：

Hopf algebras; bismash products; symmetric groups; group algebras; blocks; prime to the first power;

D O I：

10.1016/j.jalgebra.2007.05.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that an infinite family of Hopf algebras that arise as a subfamily of the so-called bismash products constructed from factorisations of symmetric groups do not have the structure (as algebras) of group algebras. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：297 / 302

页数：6

共 6 条

[1] On groups whose order contains a prime number to the first power I
Brauer, R
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1942, 64 : 401 - 420
[2] Bounds for finite primitive complex linear groups
Collins, Michael J.
[J]. JOURNAL OF ALGEBRA, 2008, 319 (02) : 759 - 776
[3] JEDWAB A, REPRESENTATIONS SOME
[4] Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras
Kashina, Y
Mason, G
Montgomery, S
[J]. JOURNAL OF ALGEBRA, 2002, 251 (02) : 888 - 913
[5] Hopf powers and orders for some bismash products
Landers, R
Montgomery, S
Schauenburg, P
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2006, 205 (01) : 156 - 188
[6] Calculations of some groups of Hopf algebra extensions
Masuoka, A
[J]. JOURNAL OF ALGEBRA, 1997, 191 (02) : 568 - 588

← 1 →