Which finite simple groups are unit groups?

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Which finite simple groups are unit groups? / Davis, Christopher James; Occhipinti, Tommy.

I: Journal of Pure and Applied Algebra, Bind 218, Nr. 4, 2014, s. 743-744.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Davis, CJ & Occhipinti, T 2014, 'Which finite simple groups are unit groups?', Journal of Pure and Applied Algebra, bind 218, nr. 4, s. 743-744. https://doi.org/10.1016/j.jpaa.2013.08.013

APA

Davis, C. J., & Occhipinti, T. (2014). Which finite simple groups are unit groups? Journal of Pure and Applied Algebra, 218(4), 743-744. https://doi.org/10.1016/j.jpaa.2013.08.013

Vancouver

Davis CJ, Occhipinti T. Which finite simple groups are unit groups? Journal of Pure and Applied Algebra. 2014;218(4):743-744. https://doi.org/10.1016/j.jpaa.2013.08.013

Author

Davis, Christopher James ; Occhipinti, Tommy. / Which finite simple groups are unit groups?. I: Journal of Pure and Applied Algebra. 2014 ; Bind 218, Nr. 4. s. 743-744.

Bibtex

@article{2a79bd1ffdc14ffd981eed3f55bd0c89,
title = "Which finite simple groups are unit groups?",
abstract = "We prove that if G is a finite simple group which is the unit group of a ring, then G is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order 2^k −1 for some k; or (c) a projective special linear group PSLn(F2) for some n ≥ 3. Moreover, these groups do all occur as unit groups. We deduce this classification from a more general result, which holds for groups G with no non-trivial normal 2-subgroup.",
author = "Davis, {Christopher James} and Tommy Occhipinti",
year = "2014",
doi = "10.1016/j.jpaa.2013.08.013",
language = "English",
volume = "218",
pages = "743--744",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier BV * North-Holland",
number = "4",

}

RIS

TY - JOUR

T1 - Which finite simple groups are unit groups?

AU - Davis, Christopher James

AU - Occhipinti, Tommy

PY - 2014

Y1 - 2014

N2 - We prove that if G is a finite simple group which is the unit group of a ring, then G is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order 2^k −1 for some k; or (c) a projective special linear group PSLn(F2) for some n ≥ 3. Moreover, these groups do all occur as unit groups. We deduce this classification from a more general result, which holds for groups G with no non-trivial normal 2-subgroup.

AB - We prove that if G is a finite simple group which is the unit group of a ring, then G is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order 2^k −1 for some k; or (c) a projective special linear group PSLn(F2) for some n ≥ 3. Moreover, these groups do all occur as unit groups. We deduce this classification from a more general result, which holds for groups G with no non-trivial normal 2-subgroup.

U2 - 10.1016/j.jpaa.2013.08.013

DO - 10.1016/j.jpaa.2013.08.013

M3 - Journal article

VL - 218

SP - 743

EP - 744

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 4

ER -

ID: 64393150