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, Seyed Hassan Alavi
Author Original حسین پرویزی مساعد اشرف دانشخواه سید حسن علوی
Publication Place Shahid Chamran University of Havz - Shahid Chamran University of Havz
Type Periodical
Language Persian
Digital Yes
Manuscript No
Library: Northwestern University Libraries
Record ID cdi_doaj_primary_oai_doaj_org_article_b32ae6b5f0d047fa93965b8521ee1b8f
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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).
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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, Seyed Hassan Alavi
Author Original حسین پرویزی مساعد اشرف دانشخواه سید حسن علوی
Publication Place Shahid Chamran University of Havz - Shahid Chamran University of Havz
Type Periodical
Language Persian
Digital Yes
Manuscript No
Library Northwestern University Libraries
Record ID cdi_doaj_primary_oai_doaj_org_article_b32ae6b5f0d047fa93965b8521ee1b8f
Library Location Check request options
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).
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