Back to Search

Recognizability of the Suzuki group (29) Sz using the set of elements of the same order
(تشخیص پذیری گروه سوزوکی ۲۹ با استفاده از مجموعه تعداد عناصر هم مرتبه)

Title	Recognizability of the Suzuki group (29) Sz using the set of elements of the same order
Title Original	تشخیص پذیری گروه سوزوکی ۲۹ با استفاده از مجموعه تعداد عناصر هم مرتبه
Author	Hossein Parvizi Mosaed ; Ashraf Daneshkhah ; Seyyed Hasan Alavi
Author Original	حسین پرویزی مساعد اشرف دانشخواه سید حسن علوی
Publication Date:	1400-10
Subject	Element order, first graph, simple finite group, Suzuki group
Type	Periodical
Language	Persian
Digital	Yes
Manuscript	No
Library:	University of Toronto
Library Asset ID	ISSN: 2251-8088, EISSN: 2645-6141, DOI: 10.22055/jamm.2021.38473.1961
Record ID	cdi_doaj_primary_oai_doaj_org_article_b32ae6b5f0d047fa93965b8521ee1b8f
Library Location	DOAJ Directory of Open Access Journals
Date	1400-10
Notes	Suppose G is a group and (nse) G is the set of the number of elements of the same order in the group G. In this paper, we prove that if G is a group and (29) Sz is a simple Suzuki group such that ()29(nse(G) = nse(Sz), then the group G is homogeneous with the simple Suzuki group (29) Sz. In other words, the simple Suzuki group (29) Sz is uniquely defined by its set of elements of the same order) As a result, Thompson's problem holds for the simple Suzuki group (29).
Erişim bilgileri	Access content in Directory of Open Access Journals, Available Online

View in source University of Toronto University of Toronto - Ottoman library catalog search

University of Toronto

Recognizability of the Suzuki group (29) Sz using the set of elements of the same order

(تشخیص پذیری گروه سوزوکی ۲۹ با استفاده از مجموعه تعداد عناصر هم مرتبه)

Author Hossein Parvizi Mosaed ; Ashraf Daneshkhah ; Seyyed Hasan Alavi

Author Original حسین پرویزی مساعد اشرف دانشخواه سید حسن علوی

Publication Date 1400-10

Subject Element order, first graph, simple finite group, Suzuki group

Type Periodical

Language Persian

Digital Yes

Manuscript No

Library University of Toronto

Library Asset ID ISSN: 2251-8088, EISSN: 2645-6141, DOI: 10.22055/jamm.2021.38473.1961

Record ID cdi_doaj_primary_oai_doaj_org_article_b32ae6b5f0d047fa93965b8521ee1b8f

Library Location DOAJ Directory of Open Access Journals

Date 1400-10

Notes Suppose G is a group and (nse) G is the set of the number of elements of the same order in the group G. In this paper, we prove that if G is a group and (29) Sz is a simple Suzuki group such that ()29(nse(G) = nse(Sz), then the group G is homogeneous with the simple Suzuki group (29) Sz. In other words, the simple Suzuki group (29) Sz is uniquely defined by its set of elements of the same order) As a result, Thompson's problem holds for the simple Suzuki group (29).

Erişim bilgileri Access content in Directory of Open Access Journals, Available Online