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OCoLC |
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20241006213017.0 |
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740612s1974 riu ob 000 0 eng d |
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|a E7B
|b eng
|e rda
|e pn
|c E7B
|d OCLCO
|d EBLCP
|d OCLCF
|d OCLCQ
|d AU@
|d OCLCQ
|d VT2
|d OCLCO
|d OCLCQ
|d OCLCO
|d OCLCL
|d SXB
|d OCLCQ
|d OCLCO
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|a 9780821899472
|q (e-book)
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|a 0821899473
|q (e-book)
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|z 0821818473
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|z 9780821818473
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|a (OCoLC)884584175
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|a QA177
|b .G67 1974eb
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|a HCDD
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|a Gorenstein, Daniel,
|e author.
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|a Finite groups whose 2-subgroups are generated by at most 4 elements /
|c Daniel Gorenstein and Koichiro Harada.
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|a Providence :
|b American Mathematical Society,
|c 1974.
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| 300 |
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|a 1 online resource (473 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Memoirs of the American Mathematical Society ;
|v number 147
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|a Includes bibliographical references (pages 461-464).
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|a Print version record.
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|a TABLE OF CONTENTS -- INTRODUCTION -- PART I: SOLVABLE 2-LOCAL SUBGROUPS -- 1. Introduction -- 2. The minimal counterexample -- 3. Odd order groups acting on 2-groups -- 4. The local subgroups of G -- 5. The structure of O[sub(2)(M) -- 6. The case C[sub(R)](B) / 1 -- 7. Proof of Theorem A -- PART II: 2-CONSTRAINED 2-LOCAL SUBGROUPS -- 1. Introduction -- 2. The automorphism groups of certain 2-groups -- 3. Theorem B, the GL(3,2) case -- 4. Theorem B, the A[sub(5)]case -- 5. Theorems C and D, initial reduction -- 6. Theorems C and D, the A[sub(5)] case -- 7. Theorems C and D, the GL(3,2) case.
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|a PART III: NON 2-CONSTRAINED CENTRALIZERS OF INVOLUTIONS -- SOME SPECIAL CASES -- 1. Introduction -- 2. Theorem A -- 3. The Ŝz(8) case -- 4. The Â[sub(n) case -- 5. The M[sub(l2)] case -- 6. Some lemmas -- 7. The SL(4,q), SU(4,q), Sp(4,q) cases -- 8. The direct product case -- 9. The central product case -- PART IV: A CHARACTERIZATION OF THE GROUP D[sup(2)sub(4)](3) -- 1. Introduction -- 2. Preliminary lemmas -- 3. The centralizer of a central involution -- 4. The intersection of W and its conjugates -- 5. The normal four subgroup case -- 6. The cyclic case -- 7. The maximal class case.
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| 505 |
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|a PART V: CENTRAL INVOLUTIONS WITH NON 2-CONSTRAINED CENTRALIZERS -- 1. Introduction -- 2. Initial reductions -- 3. Theorem A -- the wreathed case -- 4. Preliminary results -- 5. Maximal elementary abelian 2-subgroups -- 6. Fusion of involutions -- 7. Theorem A -- the dihedral and quasi-dihedral cases -- PART VI: A CHARACTERIZATION OF THE GROUP M[sub(12)] -- 1. Introduction -- 2. 2-groups and their automorphism groups -- 3. Some 2-groups associated with Aut(Z[sub(4)] x Z[sub(4)]) -- 4. Initial reductions -- 5. Elimination of the rank 3 case -- 6. The major reduction -- 7. The non-dihedral case.
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|a 8. The noncyclic case -- 9. The structure of O[sub(2)](M) -- 10. The structure of S.
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| 650 |
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|a Finite groups.
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|a Finite groups
|2 fast
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| 700 |
1 |
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|a Harada, Koichiro,
|d 1941-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PBJxCtCPBQPfj8MBQt8kMT3
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| 776 |
0 |
8 |
|i Print version:
|a Gorenstein, Daniel.
|t Finite groups whose 2-subgroups are generated by at most 4 elements.
|d Providence : American Mathematical Society, 1974
|h vii, 464 ; 26 cm
|k Memoirs of the American Mathematical Society ; no. 147
|z 9780821818473
|w (DLC) 10882148
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| 830 |
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|a Memoirs of the American Mathematical Society ;
|v no. 147.
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| 856 |
4 |
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|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3113489
|y Click for online access
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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