On units of group algebras of 2-groups of maximal class

Zs Balogh; A. Bovdi

doi:10.1081/AGB-120039288

On units of group algebras of 2-groups of maximal class

Zs Balogh, A. Bovdi

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

11 Citations (Scopus)

Abstract

We determine the number of elements of order two in the group of normalized units V(IF₂G) of the group algebra IF₂G of a 2-group of maximal class over the field IF₂ of two elements. As a consequence for the 2-groups G and H of maximal class we have that V(IF₂G) and V(IF₂H) are isomorphic if and only if G and H are isomorphic.

Original language	English
Pages (from-to)	3227-3245
Number of pages	19
Journal	Communications in Algebra
Volume	32
Issue number	8
DOIs	https://doi.org/10.1081/AGB-120039288
Publication status	Published - 2004
Externally published	Yes

Keywords

Element of order two
Group algebra
Group of units
Isomorphism

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1081/AGB-120039288

Cite this

@article{466742eee4224355a727d9ba004df965,

title = "On units of group algebras of 2-groups of maximal class",

abstract = "We determine the number of elements of order two in the group of normalized units V(IF2G) of the group algebra IF2G of a 2-group of maximal class over the field IF2 of two elements. As a consequence for the 2-groups G and H of maximal class we have that V(IF2G) and V(IF2H) are isomorphic if and only if G and H are isomorphic.",

keywords = "Element of order two, Group algebra, Group of units, Isomorphism",

author = "Zs Balogh and A. Bovdi",

note = "Funding Information: The research was supported by OTKA, grants No. T037202 and No. T043034.",

year = "2004",

doi = "10.1081/AGB-120039288",

language = "English",

volume = "32",

pages = "3227--3245",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "8",

}

TY - JOUR

T1 - On units of group algebras of 2-groups of maximal class

AU - Balogh, Zs

AU - Bovdi, A.

N1 - Funding Information: The research was supported by OTKA, grants No. T037202 and No. T043034.

PY - 2004

Y1 - 2004

N2 - We determine the number of elements of order two in the group of normalized units V(IF2G) of the group algebra IF2G of a 2-group of maximal class over the field IF2 of two elements. As a consequence for the 2-groups G and H of maximal class we have that V(IF2G) and V(IF2H) are isomorphic if and only if G and H are isomorphic.

AB - We determine the number of elements of order two in the group of normalized units V(IF2G) of the group algebra IF2G of a 2-group of maximal class over the field IF2 of two elements. As a consequence for the 2-groups G and H of maximal class we have that V(IF2G) and V(IF2H) are isomorphic if and only if G and H are isomorphic.

KW - Element of order two

KW - Group algebra

KW - Group of units

KW - Isomorphism

UR - http://www.scopus.com/inward/record.url?scp=11144277322&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11144277322&partnerID=8YFLogxK

U2 - 10.1081/AGB-120039288

DO - 10.1081/AGB-120039288

M3 - Article

AN - SCOPUS:11144277322

SN - 0092-7872

VL - 32

SP - 3227

EP - 3245

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

On units of group algebras of 2-groups of maximal class

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this