The modular group algebra problem for groups of order p5

Mohamed A.M. Salim; Robert Sandling

doi:10.1017/s1446788700000215

The modular group algebra problem for groups of order p⁵

Mohamed A.M. Salim, Robert Sandling

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We show that p-groups of order p⁵ are determined by their group algebras over the field of p elements. Many cases have been dealt with in earlier work of ourselves and others. The only case whose details remain to be given here is that of groups of nilpotency class 3 for p odd.

Original language	English
Pages (from-to)	229-237
Number of pages	9
Journal	Journal of the Australian Mathematical Society
Volume	61
Issue number	2
DOIs	https://doi.org/10.1017/s1446788700000215
Publication status	Published - Oct 1996

Keywords

Isomorphism problem
Modular group algebra
p-group

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1017/s1446788700000215

Cite this

@article{a6243b7f490148caa769ef63bf11c306,

title = "The modular group algebra problem for groups of order p5",

abstract = "We show that p-groups of order p5 are determined by their group algebras over the field of p elements. Many cases have been dealt with in earlier work of ourselves and others. The only case whose details remain to be given here is that of groups of nilpotency class 3 for p odd.",

keywords = "Isomorphism problem, Modular group algebra, p-group",

author = "Salim, {Mohamed A.M.} and Robert Sandling",

year = "1996",

month = oct,

doi = "10.1017/s1446788700000215",

language = "English",

volume = "61",

pages = "229--237",

journal = "Journal of the Australian Mathematical Society",

issn = "1446-7887",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - The modular group algebra problem for groups of order p5

AU - Salim, Mohamed A.M.

AU - Sandling, Robert

PY - 1996/10

Y1 - 1996/10

N2 - We show that p-groups of order p5 are determined by their group algebras over the field of p elements. Many cases have been dealt with in earlier work of ourselves and others. The only case whose details remain to be given here is that of groups of nilpotency class 3 for p odd.

AB - We show that p-groups of order p5 are determined by their group algebras over the field of p elements. Many cases have been dealt with in earlier work of ourselves and others. The only case whose details remain to be given here is that of groups of nilpotency class 3 for p odd.

KW - Isomorphism problem

KW - Modular group algebra

KW - p-group

UR - http://www.scopus.com/inward/record.url?scp=0039336420&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039336420&partnerID=8YFLogxK

U2 - 10.1017/s1446788700000215

DO - 10.1017/s1446788700000215

M3 - Article

AN - SCOPUS:0039336420

SN - 1446-7887

VL - 61

SP - 229

EP - 237

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 2

ER -